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Finding the Fourth Proportional to 361,265.72, 542,024.33 and 161,607.20

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Solution

The fourth proportional to 361,265.72, 542,024.33 and 161,607.20 is: 242,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,265.72 : 542,024.33 = 161,607.20 : x
  2. Step 2: Convert to fraction form
    361,265.72/542,024.33 = 161,607.20/x
  3. Step 3: Cross multiply
    361,265.72x = 542,024.33 × 161,607.20
  4. Step 4: Simplify right side
    361,265.72x = 87,595,030,785.02
  5. Step 5: Solve for x
    x = 87,595,030,785.02/361,265.72
  6. Step 6: Final answer
    x = 242,467.05

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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.