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Finding the Fourth Proportional to 260,753.88, 390,862.40 and 148,193.68

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Solution

The fourth proportional to 260,753.88, 390,862.40 and 148,193.68 is: 222,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,753.88 : 390,862.40 = 148,193.68 : x
  2. Step 2: Convert to fraction form
    260,753.88/390,862.40 = 148,193.68/x
  3. Step 3: Cross multiply
    260,753.88x = 390,862.40 × 148,193.68
  4. Step 4: Simplify right side
    260,753.88x = 57,923,337,429.63
  5. Step 5: Solve for x
    x = 57,923,337,429.63/260,753.88
  6. Step 6: Final answer
    x = 222,137.97

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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.