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Finding the Fourth Proportional to 243,430.20, 365,145.30 and 224,767.80

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Solution

The fourth proportional to 243,430.20, 365,145.30 and 224,767.80 is: 337,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,430.20 : 365,145.30 = 224,767.80 : x
  2. Step 2: Convert to fraction form
    243,430.20/365,145.30 = 224,767.80/x
  3. Step 3: Cross multiply
    243,430.20x = 365,145.30 × 224,767.80
  4. Step 4: Simplify right side
    243,430.20x = 82,072,905,761.34
  5. Step 5: Solve for x
    x = 82,072,905,761.34/243,430.20
  6. Step 6: Final answer
    x = 337,151.70

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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.