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Finding the Fourth Proportional to 102,234.48, 141,055.20 and 65,920.56

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Solution

The fourth proportional to 102,234.48, 141,055.20 and 65,920.56 is: 90,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234.48 : 141,055.20 = 65,920.56 : x
  2. Step 2: Convert to fraction form
    102,234.48/141,055.20 = 65,920.56/x
  3. Step 3: Cross multiply
    102,234.48x = 141,055.20 × 65,920.56
  4. Step 4: Simplify right side
    102,234.48x = 9,298,437,774.91
  5. Step 5: Solve for x
    x = 9,298,437,774.91/102,234.48
  6. Step 6: Final answer
    x = 90,952.07

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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.