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Finding the Fourth Proportional to 278,829.60, 418,244.40 and 91,816.80

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Solution

The fourth proportional to 278,829.60, 418,244.40 and 91,816.80 is: 137,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,829.60 : 418,244.40 = 91,816.80 : x
  2. Step 2: Convert to fraction form
    278,829.60/418,244.40 = 91,816.80/x
  3. Step 3: Cross multiply
    278,829.60x = 418,244.40 × 91,816.80
  4. Step 4: Simplify right side
    278,829.60x = 38,401,862,425.92
  5. Step 5: Solve for x
    x = 38,401,862,425.92/278,829.60
  6. Step 6: Final answer
    x = 137,725.20

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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.