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Finding the Fourth Proportional to 113,514, 156,388.50 and 89,631.96

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Solution

The fourth proportional to 113,514, 156,388.50 and 89,631.96 is: 123,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,514 : 156,388.50 = 89,631.96 : x
  2. Step 2: Convert to fraction form
    113,514/156,388.50 = 89,631.96/x
  3. Step 3: Cross multiply
    113,514x = 156,388.50 × 89,631.96
  4. Step 4: Simplify right side
    113,514x = 14,017,407,776.46
  5. Step 5: Solve for x
    x = 14,017,407,776.46/113,514
  6. Step 6: Final answer
    x = 123,486.16

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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.