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Finding the Fourth Proportional to 342,104.45, 513,229.12 and 102,237.03

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Solution

The fourth proportional to 342,104.45, 513,229.12 and 102,237.03 is: 153,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,104.45 : 513,229.12 = 102,237.03 : x
  2. Step 2: Convert to fraction form
    342,104.45/513,229.12 = 102,237.03/x
  3. Step 3: Cross multiply
    342,104.45x = 513,229.12 × 102,237.03
  4. Step 4: Simplify right side
    342,104.45x = 52,471,018,372.17
  5. Step 5: Solve for x
    x = 52,471,018,372.17/342,104.45
  6. Step 6: Final answer
    x = 153,377.19

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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.