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Finding the Fourth Proportional to 98,136.80, 147,205.20 and 24,264.80

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Solution

The fourth proportional to 98,136.80, 147,205.20 and 24,264.80 is: 36,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136.80 : 147,205.20 = 24,264.80 : x
  2. Step 2: Convert to fraction form
    98,136.80/147,205.20 = 24,264.80/x
  3. Step 3: Cross multiply
    98,136.80x = 147,205.20 × 24,264.80
  4. Step 4: Simplify right side
    98,136.80x = 3,571,904,736.96
  5. Step 5: Solve for x
    x = 3,571,904,736.96/98,136.80
  6. Step 6: Final answer
    x = 36,397.20

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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.