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Finding the Fourth Proportional to 129,265.38, 178,313.38 and 77,569.11

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Solution

The fourth proportional to 129,265.38, 178,313.38 and 77,569.11 is: 107,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,265.38 : 178,313.38 = 77,569.11 : x
  2. Step 2: Convert to fraction form
    129,265.38/178,313.38 = 77,569.11/x
  3. Step 3: Cross multiply
    129,265.38x = 178,313.38 × 77,569.11
  4. Step 4: Simplify right side
    129,265.38x = 13,831,610,187.69
  5. Step 5: Solve for x
    x = 13,831,610,187.69/129,265.38
  6. Step 6: Final answer
    x = 107,001.66

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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.