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Finding the Fourth Proportional to 242,287.20, 334,353.42 and 141,685.20

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Solution

The fourth proportional to 242,287.20, 334,353.42 and 141,685.20 is: 195,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,287.20 : 334,353.42 = 141,685.20 : x
  2. Step 2: Convert to fraction form
    242,287.20/334,353.42 = 141,685.20/x
  3. Step 3: Cross multiply
    242,287.20x = 334,353.42 × 141,685.20
  4. Step 4: Simplify right side
    242,287.20x = 47,372,931,183.38
  5. Step 5: Solve for x
    x = 47,372,931,183.38/242,287.20
  6. Step 6: Final answer
    x = 195,523.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.