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Finding the Fourth Proportional to 308,177.60, 462,223.20 and 97,836.80

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Solution

The fourth proportional to 308,177.60, 462,223.20 and 97,836.80 is: 146,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,177.60 : 462,223.20 = 97,836.80 : x
  2. Step 2: Convert to fraction form
    308,177.60/462,223.20 = 97,836.80/x
  3. Step 3: Cross multiply
    308,177.60x = 462,223.20 × 97,836.80
  4. Step 4: Simplify right side
    308,177.60x = 45,222,438,773.76
  5. Step 5: Solve for x
    x = 45,222,438,773.76/308,177.60
  6. Step 6: Final answer
    x = 146,741.49

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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.