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Finding the Fourth Proportional to 150,587.82, 225,747.72 and 57,159.18

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Solution

The fourth proportional to 150,587.82, 225,747.72 and 57,159.18 is: 85,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,587.82 : 225,747.72 = 57,159.18 : x
  2. Step 2: Convert to fraction form
    150,587.82/225,747.72 = 57,159.18/x
  3. Step 3: Cross multiply
    150,587.82x = 225,747.72 × 57,159.18
  4. Step 4: Simplify right side
    150,587.82x = 12,903,554,562.07
  5. Step 5: Solve for x
    x = 12,903,554,562.07/150,587.82
  6. Step 6: Final answer
    x = 85,687.90

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Why These Related Problems?

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