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Finding the Fourth Proportional to 272,538.81, 408,825.50 and 85,557.69

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Solution

The fourth proportional to 272,538.81, 408,825.50 and 85,557.69 is: 128,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,538.81 : 408,825.50 = 85,557.69 : x
  2. Step 2: Convert to fraction form
    272,538.81/408,825.50 = 85,557.69/x
  3. Step 3: Cross multiply
    272,538.81x = 408,825.50 × 85,557.69
  4. Step 4: Simplify right side
    272,538.81x = 34,978,164,965.31
  5. Step 5: Solve for x
    x = 34,978,164,965.31/272,538.81
  6. Step 6: Final answer
    x = 128,341.96

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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.