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Finding the Fourth Proportional to 129,206.35, 178,290.49 and 77,520.71

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Solution

The fourth proportional to 129,206.35, 178,290.49 and 77,520.71 is: 106,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206.35 : 178,290.49 = 77,520.71 : x
  2. Step 2: Convert to fraction form
    129,206.35/178,290.49 = 77,520.71/x
  3. Step 3: Cross multiply
    129,206.35x = 178,290.49 × 77,520.71
  4. Step 4: Simplify right side
    129,206.35x = 13,821,205,371.05
  5. Step 5: Solve for x
    x = 13,821,205,371.05/129,206.35
  6. Step 6: Final answer
    x = 106,970.02

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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.