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Finding the Fourth Proportional to 361,347.52, 542,021.60 and 150,870.72

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Solution

The fourth proportional to 361,347.52, 542,021.60 and 150,870.72 is: 226,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,347.52 : 542,021.60 = 150,870.72 : x
  2. Step 2: Convert to fraction form
    361,347.52/542,021.60 = 150,870.72/x
  3. Step 3: Cross multiply
    361,347.52x = 542,021.60 × 150,870.72
  4. Step 4: Simplify right side
    361,347.52x = 81,775,189,047.55
  5. Step 5: Solve for x
    x = 81,775,189,047.55/361,347.52
  6. Step 6: Final answer
    x = 226,306.21

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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.