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Finding the Fourth Proportional to 147,215.20, 220,822.80 and 36,407.20

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Solution

The fourth proportional to 147,215.20, 220,822.80 and 36,407.20 is: 54,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,215.20 : 220,822.80 = 36,407.20 : x
  2. Step 2: Convert to fraction form
    147,215.20/220,822.80 = 36,407.20/x
  3. Step 3: Cross multiply
    147,215.20x = 220,822.80 × 36,407.20
  4. Step 4: Simplify right side
    147,215.20x = 8,039,539,844.16
  5. Step 5: Solve for x
    x = 8,039,539,844.16/147,215.20
  6. Step 6: Final answer
    x = 54,610.80

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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.