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Finding the Fourth Proportional to 145,340.97, 200,569.28 and 81,678.62

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Solution

The fourth proportional to 145,340.97, 200,569.28 and 81,678.62 is: 112,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,340.97 : 200,569.28 = 81,678.62 : x
  2. Step 2: Convert to fraction form
    145,340.97/200,569.28 = 81,678.62/x
  3. Step 3: Cross multiply
    145,340.97x = 200,569.28 × 81,678.62
  4. Step 4: Simplify right side
    145,340.97x = 16,382,220,593.55
  5. Step 5: Solve for x
    x = 16,382,220,593.55/145,340.97
  6. Step 6: Final answer
    x = 112,715.78

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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.