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Finding the Fourth Proportional to 243,738.72, 365,344.63 and 101,545.85

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Solution

The fourth proportional to 243,738.72, 365,344.63 and 101,545.85 is: 152,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,738.72 : 365,344.63 = 101,545.85 : x
  2. Step 2: Convert to fraction form
    243,738.72/365,344.63 = 101,545.85/x
  3. Step 3: Cross multiply
    243,738.72x = 365,344.63 × 101,545.85
  4. Step 4: Simplify right side
    243,738.72x = 37,099,231,655.78
  5. Step 5: Solve for x
    x = 37,099,231,655.78/243,738.72
  6. Step 6: Final answer
    x = 152,209.02

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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.