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Finding the Fourth Proportional to 96,614.40, 144,982.40 and 41,209.60

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Solution

The fourth proportional to 96,614.40, 144,982.40 and 41,209.60 is: 61,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,614.40 : 144,982.40 = 41,209.60 : x
  2. Step 2: Convert to fraction form
    96,614.40/144,982.40 = 41,209.60/x
  3. Step 3: Cross multiply
    96,614.40x = 144,982.40 × 41,209.60
  4. Step 4: Simplify right side
    96,614.40x = 5,974,666,711.04
  5. Step 5: Solve for x
    x = 5,974,666,711.04/96,614.40
  6. Step 6: Final answer
    x = 61,840.33

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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.