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Finding the Fourth Proportional to 144,290.70, 216,436.05 and 133,793.10

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Solution

The fourth proportional to 144,290.70, 216,436.05 and 133,793.10 is: 200,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,290.70 : 216,436.05 = 133,793.10 : x
  2. Step 2: Convert to fraction form
    144,290.70/216,436.05 = 133,793.10/x
  3. Step 3: Cross multiply
    144,290.70x = 216,436.05 × 133,793.10
  4. Step 4: Simplify right side
    144,290.70x = 28,957,650,081.26
  5. Step 5: Solve for x
    x = 28,957,650,081.26/144,290.70
  6. Step 6: Final answer
    x = 200,689.65

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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.