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Finding the Fourth Proportional to 145,086.57, 200,239.02 and 81,427.86

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Solution

The fourth proportional to 145,086.57, 200,239.02 and 81,427.86 is: 112,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,086.57 : 200,239.02 = 81,427.86 : x
  2. Step 2: Convert to fraction form
    145,086.57/200,239.02 = 81,427.86/x
  3. Step 3: Cross multiply
    145,086.57x = 200,239.02 × 81,427.86
  4. Step 4: Simplify right side
    145,086.57x = 16,305,034,887.10
  5. Step 5: Solve for x
    x = 16,305,034,887.10/145,086.57
  6. Step 6: Final answer
    x = 112,381.42

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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.