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Finding the Fourth Proportional to 461,251.20, 692,006.40 and 195,139.20

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Solution

The fourth proportional to 461,251.20, 692,006.40 and 195,139.20 is: 292,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,251.20 : 692,006.40 = 195,139.20 : x
  2. Step 2: Convert to fraction form
    461,251.20/692,006.40 = 195,139.20/x
  3. Step 3: Cross multiply
    461,251.20x = 692,006.40 × 195,139.20
  4. Step 4: Simplify right side
    461,251.20x = 135,037,575,290.88
  5. Step 5: Solve for x
    x = 135,037,575,290.88/461,251.20
  6. Step 6: Final answer
    x = 292,763.63

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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.