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Finding the Fourth Proportional to 150,287.83, 225,446.81 and 55,542.93

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Solution

The fourth proportional to 150,287.83, 225,446.81 and 55,542.93 is: 83,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,287.83 : 225,446.81 = 55,542.93 : x
  2. Step 2: Convert to fraction form
    150,287.83/225,446.81 = 55,542.93/x
  3. Step 3: Cross multiply
    150,287.83x = 225,446.81 × 55,542.93
  4. Step 4: Simplify right side
    150,287.83x = 12,521,976,386.55
  5. Step 5: Solve for x
    x = 12,521,976,386.55/150,287.83
  6. Step 6: Final answer
    x = 83,319.96

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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.