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Finding the Fourth Proportional to 102,519.20, 153,778.80 and 101,136.80

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Solution

The fourth proportional to 102,519.20, 153,778.80 and 101,136.80 is: 151,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519.20 : 153,778.80 = 101,136.80 : x
  2. Step 2: Convert to fraction form
    102,519.20/153,778.80 = 101,136.80/x
  3. Step 3: Cross multiply
    102,519.20x = 153,778.80 × 101,136.80
  4. Step 4: Simplify right side
    102,519.20x = 15,552,695,739.84
  5. Step 5: Solve for x
    x = 15,552,695,739.84/102,519.20
  6. Step 6: Final answer
    x = 151,705.20

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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.