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Finding the Fourth Proportional to 117,415,906.80, 176,123,860.20 and 81,584,098.80

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Solution

The fourth proportional to 117,415,906.80, 176,123,860.20 and 81,584,098.80 is: 122,376,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,415,906.80 : 176,123,860.20 = 81,584,098.80 : x
  2. Step 2: Convert to fraction form
    117,415,906.80/176,123,860.20 = 81,584,098.80/x
  3. Step 3: Cross multiply
    117,415,906.80x = 176,123,860.20 × 81,584,098.80
  4. Step 4: Simplify right side
    117,415,906.80x = 14,368,906,411,594,186
  5. Step 5: Solve for x
    x = 14,368,906,411,594,186/117,415,906.80
  6. Step 6: Final answer
    x = 122,376,148.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.