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Finding the Fourth Proportional to 361,432.40, 542,144.67 and 148,152.77

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Solution

The fourth proportional to 361,432.40, 542,144.67 and 148,152.77 is: 222,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,432.40 : 542,144.67 = 148,152.77 : x
  2. Step 2: Convert to fraction form
    361,432.40/542,144.67 = 148,152.77/x
  3. Step 3: Cross multiply
    361,432.40x = 542,144.67 × 148,152.77
  4. Step 4: Simplify right side
    361,432.40x = 80,320,231,890.51
  5. Step 5: Solve for x
    x = 80,320,231,890.51/361,432.40
  6. Step 6: Final answer
    x = 222,227.54

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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.