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Finding the Fourth Proportional to 361,775.87, 542,657.33 and 148,497.47

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Solution

The fourth proportional to 361,775.87, 542,657.33 and 148,497.47 is: 222,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,775.87 : 542,657.33 = 148,497.47 : x
  2. Step 2: Convert to fraction form
    361,775.87/542,657.33 = 148,497.47/x
  3. Step 3: Cross multiply
    361,775.87x = 542,657.33 × 148,497.47
  4. Step 4: Simplify right side
    361,775.87x = 80,583,239,839.47
  5. Step 5: Solve for x
    x = 80,583,239,839.47/361,775.87
  6. Step 6: Final answer
    x = 222,743.55

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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.