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Finding the Fourth Proportional to 152,641.96, 210,634.50 and 85,561

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Solution

The fourth proportional to 152,641.96, 210,634.50 and 85,561 is: 118,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,641.96 : 210,634.50 = 85,561 : x
  2. Step 2: Convert to fraction form
    152,641.96/210,634.50 = 85,561/x
  3. Step 3: Cross multiply
    152,641.96x = 210,634.50 × 85,561
  4. Step 4: Simplify right side
    152,641.96x = 18,022,098,454.50
  5. Step 5: Solve for x
    x = 18,022,098,454.50/152,641.96
  6. Step 6: Final answer
    x = 118,067.79

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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.