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Finding the Fourth Proportional to 107,430.72, 148,246.28 and 59,680

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Solution

The fourth proportional to 107,430.72, 148,246.28 and 59,680 is: 82,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,430.72 : 148,246.28 = 59,680 : x
  2. Step 2: Convert to fraction form
    107,430.72/148,246.28 = 59,680/x
  3. Step 3: Cross multiply
    107,430.72x = 148,246.28 × 59,680
  4. Step 4: Simplify right side
    107,430.72x = 8,847,337,990.40
  5. Step 5: Solve for x
    x = 8,847,337,990.40/107,430.72
  6. Step 6: Final answer
    x = 82,353.89

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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.