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Finding the Fourth Proportional to 296,010.64, 444,132.72 and 129,682

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Solution

The fourth proportional to 296,010.64, 444,132.72 and 129,682 is: 194,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010.64 : 444,132.72 = 129,682 : x
  2. Step 2: Convert to fraction form
    296,010.64/444,132.72 = 129,682/x
  3. Step 3: Cross multiply
    296,010.64x = 444,132.72 × 129,682
  4. Step 4: Simplify right side
    296,010.64x = 57,596,019,395.04
  5. Step 5: Solve for x
    x = 57,596,019,395.04/296,010.64
  6. Step 6: Final answer
    x = 194,574.15

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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.