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Finding the Fourth Proportional to 145,340.90, 200,569.18 and 81,678.56

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Solution

The fourth proportional to 145,340.90, 200,569.18 and 81,678.56 is: 112,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,340.90 : 200,569.18 = 81,678.56 : x
  2. Step 2: Convert to fraction form
    145,340.90/200,569.18 = 81,678.56/x
  3. Step 3: Cross multiply
    145,340.90x = 200,569.18 × 81,678.56
  4. Step 4: Simplify right side
    145,340.90x = 16,382,201,802.78
  5. Step 5: Solve for x
    x = 16,382,201,802.78/145,340.90
  6. Step 6: Final answer
    x = 112,715.70

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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.