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Finding the Fourth Proportional to 361,529.70, 542,169.55 and 148,237.06

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Solution

The fourth proportional to 361,529.70, 542,169.55 and 148,237.06 is: 222,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,529.70 : 542,169.55 = 148,237.06 : x
  2. Step 2: Convert to fraction form
    361,529.70/542,169.55 = 148,237.06/x
  3. Step 3: Cross multiply
    361,529.70x = 542,169.55 × 148,237.06
  4. Step 4: Simplify right side
    361,529.70x = 80,369,620,113.52
  5. Step 5: Solve for x
    x = 80,369,620,113.52/361,529.70
  6. Step 6: Final answer
    x = 222,304.34

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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.