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Finding the Fourth Proportional to 145,473.68, 200,761.62 and 81,815.24

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Solution

The fourth proportional to 145,473.68, 200,761.62 and 81,815.24 is: 112,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,473.68 : 200,761.62 = 81,815.24 : x
  2. Step 2: Convert to fraction form
    145,473.68/200,761.62 = 81,815.24/x
  3. Step 3: Cross multiply
    145,473.68x = 200,761.62 × 81,815.24
  4. Step 4: Simplify right side
    145,473.68x = 16,425,360,123.09
  5. Step 5: Solve for x
    x = 16,425,360,123.09/145,473.68
  6. Step 6: Final answer
    x = 112,909.50

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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.