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Finding the Fourth Proportional to 115,869.72, 159,891.66 and 65,559

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Solution

The fourth proportional to 115,869.72, 159,891.66 and 65,559 is: 90,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,869.72 : 159,891.66 = 65,559 : x
  2. Step 2: Convert to fraction form
    115,869.72/159,891.66 = 65,559/x
  3. Step 3: Cross multiply
    115,869.72x = 159,891.66 × 65,559
  4. Step 4: Simplify right side
    115,869.72x = 10,482,337,337.94
  5. Step 5: Solve for x
    x = 10,482,337,337.94/115,869.72
  6. Step 6: Final answer
    x = 90,466.58

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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.