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Finding the Fourth Proportional to 99,982.40, 149,990.40 and 29,868.80

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Solution

The fourth proportional to 99,982.40, 149,990.40 and 29,868.80 is: 44,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,982.40 : 149,990.40 = 29,868.80 : x
  2. Step 2: Convert to fraction form
    99,982.40/149,990.40 = 29,868.80/x
  3. Step 3: Cross multiply
    99,982.40x = 149,990.40 × 29,868.80
  4. Step 4: Simplify right side
    99,982.40x = 4,480,033,259.52
  5. Step 5: Solve for x
    x = 4,480,033,259.52/99,982.40
  6. Step 6: Final answer
    x = 44,808.22

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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.