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Finding the Fourth Proportional to 274,103.20, 411,104.49 and 124,307.47

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Solution

The fourth proportional to 274,103.20, 411,104.49 and 124,307.47 is: 186,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,103.20 : 411,104.49 = 124,307.47 : x
  2. Step 2: Convert to fraction form
    274,103.20/411,104.49 = 124,307.47/x
  3. Step 3: Cross multiply
    274,103.20x = 411,104.49 × 124,307.47
  4. Step 4: Simplify right side
    274,103.20x = 51,103,359,057.54
  5. Step 5: Solve for x
    x = 51,103,359,057.54/274,103.20
  6. Step 6: Final answer
    x = 186,438.39

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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.