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Finding the Fourth Proportional to 206,532.42, 285,014.88 and 115,875.87

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Solution

The fourth proportional to 206,532.42, 285,014.88 and 115,875.87 is: 159,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.42 : 285,014.88 = 115,875.87 : x
  2. Step 2: Convert to fraction form
    206,532.42/285,014.88 = 115,875.87/x
  3. Step 3: Cross multiply
    206,532.42x = 285,014.88 × 115,875.87
  4. Step 4: Simplify right side
    206,532.42x = 33,026,347,182.95
  5. Step 5: Solve for x
    x = 33,026,347,182.95/206,532.42
  6. Step 6: Final answer
    x = 159,908.78

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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.