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Finding the Fourth Proportional to 199,629.60, 299,098.80 and 129,472.80

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Solution

The fourth proportional to 199,629.60, 299,098.80 and 129,472.80 is: 193,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,629.60 : 299,098.80 = 129,472.80 : x
  2. Step 2: Convert to fraction form
    199,629.60/299,098.80 = 129,472.80/x
  3. Step 3: Cross multiply
    199,629.60x = 299,098.80 × 129,472.80
  4. Step 4: Simplify right side
    199,629.60x = 38,725,159,112.64
  5. Step 5: Solve for x
    x = 38,725,159,112.64/199,629.60
  6. Step 6: Final answer
    x = 193,985.06

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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.