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Finding the Fourth Proportional to 150,585.32, 225,743.97 and 57,156.68

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Solution

The fourth proportional to 150,585.32, 225,743.97 and 57,156.68 is: 85,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,585.32 : 225,743.97 = 57,156.68 : x
  2. Step 2: Convert to fraction form
    150,585.32/225,743.97 = 57,156.68/x
  3. Step 3: Cross multiply
    150,585.32x = 225,743.97 × 57,156.68
  4. Step 4: Simplify right side
    150,585.32x = 12,902,775,855.22
  5. Step 5: Solve for x
    x = 12,902,775,855.22/150,585.32
  6. Step 6: Final answer
    x = 85,684.15

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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.