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Finding the Fourth Proportional to 340,082.30, 510,142.65 and 103,432.70

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Solution

The fourth proportional to 340,082.30, 510,142.65 and 103,432.70 is: 155,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,082.30 : 510,142.65 = 103,432.70 : x
  2. Step 2: Convert to fraction form
    340,082.30/510,142.65 = 103,432.70/x
  3. Step 3: Cross multiply
    340,082.30x = 510,142.65 × 103,432.70
  4. Step 4: Simplify right side
    340,082.30x = 52,765,431,674.66
  5. Step 5: Solve for x
    x = 52,765,431,674.66/340,082.30
  6. Step 6: Final answer
    x = 155,154.89

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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.