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Finding the Fourth Proportional to 129,201.40, 178,307.91 and 77,520.43

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Solution

The fourth proportional to 129,201.40, 178,307.91 and 77,520.43 is: 106,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,201.40 : 178,307.91 = 77,520.43 : x
  2. Step 2: Convert to fraction form
    129,201.40/178,307.91 = 77,520.43/x
  3. Step 3: Cross multiply
    129,201.40x = 178,307.91 × 77,520.43
  4. Step 4: Simplify right side
    129,201.40x = 13,822,504,576.46
  5. Step 5: Solve for x
    x = 13,822,504,576.46/129,201.40
  6. Step 6: Final answer
    x = 106,984.17

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