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Finding the Fourth Proportional to 175,708.50, 263,560.38 and 42,589.90

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Solution

The fourth proportional to 175,708.50, 263,560.38 and 42,589.90 is: 63,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,708.50 : 263,560.38 = 42,589.90 : x
  2. Step 2: Convert to fraction form
    175,708.50/263,560.38 = 42,589.90/x
  3. Step 3: Cross multiply
    175,708.50x = 263,560.38 × 42,589.90
  4. Step 4: Simplify right side
    175,708.50x = 11,225,010,228.16
  5. Step 5: Solve for x
    x = 11,225,010,228.16/175,708.50
  6. Step 6: Final answer
    x = 63,884.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.