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Finding the Fourth Proportional to 147,049.06, 220,606.80 and 53,554

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Solution

The fourth proportional to 147,049.06, 220,606.80 and 53,554 is: 80,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,049.06 : 220,606.80 = 53,554 : x
  2. Step 2: Convert to fraction form
    147,049.06/220,606.80 = 53,554/x
  3. Step 3: Cross multiply
    147,049.06x = 220,606.80 × 53,554
  4. Step 4: Simplify right side
    147,049.06x = 11,814,376,567.20
  5. Step 5: Solve for x
    x = 11,814,376,567.20/147,049.06
  6. Step 6: Final answer
    x = 80,343.09

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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.