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Finding the Fourth Proportional to 136,136.80, 204,205.20 and 130,013.20

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Solution

The fourth proportional to 136,136.80, 204,205.20 and 130,013.20 is: 195,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,136.80 : 204,205.20 = 130,013.20 : x
  2. Step 2: Convert to fraction form
    136,136.80/204,205.20 = 130,013.20/x
  3. Step 3: Cross multiply
    136,136.80x = 204,205.20 × 130,013.20
  4. Step 4: Simplify right side
    136,136.80x = 26,549,371,508.64
  5. Step 5: Solve for x
    x = 26,549,371,508.64/136,136.80
  6. Step 6: Final answer
    x = 195,019.80

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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.