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Finding the Fourth Proportional to 150,710.77, 207,981.32 and 82,734.71

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Solution

The fourth proportional to 150,710.77, 207,981.32 and 82,734.71 is: 114,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,710.77 : 207,981.32 = 82,734.71 : x
  2. Step 2: Convert to fraction form
    150,710.77/207,981.32 = 82,734.71/x
  3. Step 3: Cross multiply
    150,710.77x = 207,981.32 × 82,734.71
  4. Step 4: Simplify right side
    150,710.77x = 17,207,273,781.94
  5. Step 5: Solve for x
    x = 17,207,273,781.94/150,710.77
  6. Step 6: Final answer
    x = 114,174.15

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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.