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Finding the Fourth Proportional to 102,227.99, 141,065.30 and 59,779.13

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Solution

The fourth proportional to 102,227.99, 141,065.30 and 59,779.13 is: 82,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.99 : 141,065.30 = 59,779.13 : x
  2. Step 2: Convert to fraction form
    102,227.99/141,065.30 = 59,779.13/x
  3. Step 3: Cross multiply
    102,227.99x = 141,065.30 × 59,779.13
  4. Step 4: Simplify right side
    102,227.99x = 8,432,760,608.29
  5. Step 5: Solve for x
    x = 8,432,760,608.29/102,227.99
  6. Step 6: Final answer
    x = 82,489.74

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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.