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Finding the Fourth Proportional to 274,027.47, 411,134.25 and 147,680.37

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Solution

The fourth proportional to 274,027.47, 411,134.25 and 147,680.37 is: 221,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,027.47 : 411,134.25 = 147,680.37 : x
  2. Step 2: Convert to fraction form
    274,027.47/411,134.25 = 147,680.37/x
  3. Step 3: Cross multiply
    274,027.47x = 411,134.25 × 147,680.37
  4. Step 4: Simplify right side
    274,027.47x = 60,716,458,159.67
  5. Step 5: Solve for x
    x = 60,716,458,159.67/274,027.47
  6. Step 6: Final answer
    x = 221,570.70

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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.