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Finding the Fourth Proportional to 308,101.20, 462,151.80 and 245,893.20

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Solution

The fourth proportional to 308,101.20, 462,151.80 and 245,893.20 is: 368,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,101.20 : 462,151.80 = 245,893.20 : x
  2. Step 2: Convert to fraction form
    308,101.20/462,151.80 = 245,893.20/x
  3. Step 3: Cross multiply
    308,101.20x = 462,151.80 × 245,893.20
  4. Step 4: Simplify right side
    308,101.20x = 113,639,984,987.76
  5. Step 5: Solve for x
    x = 113,639,984,987.76/308,101.20
  6. Step 6: Final answer
    x = 368,839.80

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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.