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Finding the Fourth Proportional to 147,796.52, 221,716.91 and 47,923.52

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Solution

The fourth proportional to 147,796.52, 221,716.91 and 47,923.52 is: 71,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,796.52 : 221,716.91 = 47,923.52 : x
  2. Step 2: Convert to fraction form
    147,796.52/221,716.91 = 47,923.52/x
  3. Step 3: Cross multiply
    147,796.52x = 221,716.91 × 47,923.52
  4. Step 4: Simplify right side
    147,796.52x = 10,625,453,781.95
  5. Step 5: Solve for x
    x = 10,625,453,781.95/147,796.52
  6. Step 6: Final answer
    x = 71,892.45

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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.