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Finding the Fourth Proportional to 147,195.75, 220,795.80 and 42,014.79

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Solution

The fourth proportional to 147,195.75, 220,795.80 and 42,014.79 is: 63,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195.75 : 220,795.80 = 42,014.79 : x
  2. Step 2: Convert to fraction form
    147,195.75/220,795.80 = 42,014.79/x
  3. Step 3: Cross multiply
    147,195.75x = 220,795.80 × 42,014.79
  4. Step 4: Simplify right side
    147,195.75x = 9,276,689,169.88
  5. Step 5: Solve for x
    x = 9,276,689,169.88/147,195.75
  6. Step 6: Final answer
    x = 63,022.81

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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.