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Finding the Fourth Proportional to 296,107.98, 444,358.80 and 138,348.72

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Solution

The fourth proportional to 296,107.98, 444,358.80 and 138,348.72 is: 207,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,107.98 : 444,358.80 = 138,348.72 : x
  2. Step 2: Convert to fraction form
    296,107.98/444,358.80 = 138,348.72/x
  3. Step 3: Cross multiply
    296,107.98x = 444,358.80 × 138,348.72
  4. Step 4: Simplify right side
    296,107.98x = 61,476,471,200.74
  5. Step 5: Solve for x
    x = 61,476,471,200.74/296,107.98
  6. Step 6: Final answer
    x = 207,615.04

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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.