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Finding the Fourth Proportional to 147,067.76, 220,494.08 and 47,171.08

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Solution

The fourth proportional to 147,067.76, 220,494.08 and 47,171.08 is: 70,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,067.76 : 220,494.08 = 47,171.08 : x
  2. Step 2: Convert to fraction form
    147,067.76/220,494.08 = 47,171.08/x
  3. Step 3: Cross multiply
    147,067.76x = 220,494.08 × 47,171.08
  4. Step 4: Simplify right side
    147,067.76x = 10,400,943,887.21
  5. Step 5: Solve for x
    x = 10,400,943,887.21/147,067.76
  6. Step 6: Final answer
    x = 70,722.12

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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.