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Finding the Fourth Proportional to 340,082.10, 510,123.15 and 103,424.40

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Solution

The fourth proportional to 340,082.10, 510,123.15 and 103,424.40 is: 155,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,082.10 : 510,123.15 = 103,424.40 : x
  2. Step 2: Convert to fraction form
    340,082.10/510,123.15 = 103,424.40/x
  3. Step 3: Cross multiply
    340,082.10x = 510,123.15 × 103,424.40
  4. Step 4: Simplify right side
    340,082.10x = 52,759,180,714.86
  5. Step 5: Solve for x
    x = 52,759,180,714.86/340,082.10
  6. Step 6: Final answer
    x = 155,136.60

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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.