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Finding the Fourth Proportional to 145,909.49, 201,358.17 and 82,247.27

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Solution

The fourth proportional to 145,909.49, 201,358.17 and 82,247.27 is: 113,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.49 : 201,358.17 = 82,247.27 : x
  2. Step 2: Convert to fraction form
    145,909.49/201,358.17 = 82,247.27/x
  3. Step 3: Cross multiply
    145,909.49x = 201,358.17 × 82,247.27
  4. Step 4: Simplify right side
    145,909.49x = 16,561,158,767.91
  5. Step 5: Solve for x
    x = 16,561,158,767.91/145,909.49
  6. Step 6: Final answer
    x = 113,502.96

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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.