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Finding the Fourth Proportional to 103,414.84, 142,708.71 and 63,195.91

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Solution

The fourth proportional to 103,414.84, 142,708.71 and 63,195.91 is: 87,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.84 : 142,708.71 = 63,195.91 : x
  2. Step 2: Convert to fraction form
    103,414.84/142,708.71 = 63,195.91/x
  3. Step 3: Cross multiply
    103,414.84x = 142,708.71 × 63,195.91
  4. Step 4: Simplify right side
    103,414.84x = 9,018,606,793.38
  5. Step 5: Solve for x
    x = 9,018,606,793.38/103,414.84
  6. Step 6: Final answer
    x = 87,208.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.