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Finding the Fourth Proportional to 342,644.07, 514,082.85 and 102,763.78

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Solution

The fourth proportional to 342,644.07, 514,082.85 and 102,763.78 is: 154,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,644.07 : 514,082.85 = 102,763.78 : x
  2. Step 2: Convert to fraction form
    342,644.07/514,082.85 = 102,763.78/x
  3. Step 3: Cross multiply
    342,644.07x = 514,082.85 × 102,763.78
  4. Step 4: Simplify right side
    342,644.07x = 52,829,096,899.17
  5. Step 5: Solve for x
    x = 52,829,096,899.17/342,644.07
  6. Step 6: Final answer
    x = 154,180.68

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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.