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Finding the Fourth Proportional to 144,895.80, 217,343.70 and 132,454.20

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Solution

The fourth proportional to 144,895.80, 217,343.70 and 132,454.20 is: 198,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,895.80 : 217,343.70 = 132,454.20 : x
  2. Step 2: Convert to fraction form
    144,895.80/217,343.70 = 132,454.20/x
  3. Step 3: Cross multiply
    144,895.80x = 217,343.70 × 132,454.20
  4. Step 4: Simplify right side
    144,895.80x = 28,788,085,908.54
  5. Step 5: Solve for x
    x = 28,788,085,908.54/144,895.80
  6. Step 6: Final answer
    x = 198,681.30

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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.