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Finding the Fourth Proportional to 260,046.30, 390,069.45 and 148,071.90

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Solution

The fourth proportional to 260,046.30, 390,069.45 and 148,071.90 is: 222,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046.30 : 390,069.45 = 148,071.90 : x
  2. Step 2: Convert to fraction form
    260,046.30/390,069.45 = 148,071.90/x
  3. Step 3: Cross multiply
    260,046.30x = 390,069.45 × 148,071.90
  4. Step 4: Simplify right side
    260,046.30x = 57,758,324,593.46
  5. Step 5: Solve for x
    x = 57,758,324,593.46/260,046.30
  6. Step 6: Final answer
    x = 222,107.85

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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.