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Finding the Fourth Proportional to 115,566.96, 159,423.30 and 75,348.12

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Solution

The fourth proportional to 115,566.96, 159,423.30 and 75,348.12 is: 103,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,566.96 : 159,423.30 = 75,348.12 : x
  2. Step 2: Convert to fraction form
    115,566.96/159,423.30 = 75,348.12/x
  3. Step 3: Cross multiply
    115,566.96x = 159,423.30 × 75,348.12
  4. Step 4: Simplify right side
    115,566.96x = 12,012,245,939.20
  5. Step 5: Solve for x
    x = 12,012,245,939.20/115,566.96
  6. Step 6: Final answer
    x = 103,941.87

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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.