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Finding the Fourth Proportional to 103,438.80, 155,158.20 and 96,057.68

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Solution

The fourth proportional to 103,438.80, 155,158.20 and 96,057.68 is: 144,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.80 : 155,158.20 = 96,057.68 : x
  2. Step 2: Convert to fraction form
    103,438.80/155,158.20 = 96,057.68/x
  3. Step 3: Cross multiply
    103,438.80x = 155,158.20 × 96,057.68
  4. Step 4: Simplify right side
    103,438.80x = 14,904,136,724.98
  5. Step 5: Solve for x
    x = 14,904,136,724.98/103,438.80
  6. Step 6: Final answer
    x = 144,086.52

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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.