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Finding the Fourth Proportional to 136,472.40, 204,708.60 and 96,814.80

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Solution

The fourth proportional to 136,472.40, 204,708.60 and 96,814.80 is: 145,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,472.40 : 204,708.60 = 96,814.80 : x
  2. Step 2: Convert to fraction form
    136,472.40/204,708.60 = 96,814.80/x
  3. Step 3: Cross multiply
    136,472.40x = 204,708.60 × 96,814.80
  4. Step 4: Simplify right side
    136,472.40x = 19,818,822,167.28
  5. Step 5: Solve for x
    x = 19,818,822,167.28/136,472.40
  6. Step 6: Final answer
    x = 145,222.20

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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.