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Finding the Fourth Proportional to 102,508.32, 141,437.34 and 62,221.08

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Solution

The fourth proportional to 102,508.32, 141,437.34 and 62,221.08 is: 85,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.32 : 141,437.34 = 62,221.08 : x
  2. Step 2: Convert to fraction form
    102,508.32/141,437.34 = 62,221.08/x
  3. Step 3: Cross multiply
    102,508.32x = 141,437.34 × 62,221.08
  4. Step 4: Simplify right side
    102,508.32x = 8,800,384,047.13
  5. Step 5: Solve for x
    x = 8,800,384,047.13/102,508.32
  6. Step 6: Final answer
    x = 85,850.44

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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.