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Finding the Fourth Proportional to 144,867.40, 216,782.70 and 132,425.80

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Solution

The fourth proportional to 144,867.40, 216,782.70 and 132,425.80 is: 198,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,867.40 : 216,782.70 = 132,425.80 : x
  2. Step 2: Convert to fraction form
    144,867.40/216,782.70 = 132,425.80/x
  3. Step 3: Cross multiply
    144,867.40x = 216,782.70 × 132,425.80
  4. Step 4: Simplify right side
    144,867.40x = 28,707,622,473.66
  5. Step 5: Solve for x
    x = 28,707,622,473.66/144,867.40
  6. Step 6: Final answer
    x = 198,164.82

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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.