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Finding the Fourth Proportional to 117,886.86, 176,830.56 and 97,066.62

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Solution

The fourth proportional to 117,886.86, 176,830.56 and 97,066.62 is: 145,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,886.86 : 176,830.56 = 97,066.62 : x
  2. Step 2: Convert to fraction form
    117,886.86/176,830.56 = 97,066.62/x
  3. Step 3: Cross multiply
    117,886.86x = 176,830.56 × 97,066.62
  4. Step 4: Simplify right side
    117,886.86x = 17,164,344,771.91
  5. Step 5: Solve for x
    x = 17,164,344,771.91/117,886.86
  6. Step 6: Final answer
    x = 145,600.15

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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.