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Finding the Fourth Proportional to 357,184.62, 535,404.33 and 120,445.92

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Solution

The fourth proportional to 357,184.62, 535,404.33 and 120,445.92 is: 180,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,184.62 : 535,404.33 = 120,445.92 : x
  2. Step 2: Convert to fraction form
    357,184.62/535,404.33 = 120,445.92/x
  3. Step 3: Cross multiply
    357,184.62x = 535,404.33 × 120,445.92
  4. Step 4: Simplify right side
    357,184.62x = 64,487,267,098.83
  5. Step 5: Solve for x
    x = 64,487,267,098.83/357,184.62
  6. Step 6: Final answer
    x = 180,543.24

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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.