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Finding the Fourth Proportional to 147,057.74, 220,479.07 and 47,161.07

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Solution

The fourth proportional to 147,057.74, 220,479.07 and 47,161.07 is: 70,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,057.74 : 220,479.07 = 47,161.07 : x
  2. Step 2: Convert to fraction form
    147,057.74/220,479.07 = 47,161.07/x
  3. Step 3: Cross multiply
    147,057.74x = 220,479.07 × 47,161.07
  4. Step 4: Simplify right side
    147,057.74x = 10,398,028,853.80
  5. Step 5: Solve for x
    x = 10,398,028,853.80/147,057.74
  6. Step 6: Final answer
    x = 70,707.12

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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.