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Finding the Fourth Proportional to 137,696.80, 206,545.20 and 122,663.20

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Solution

The fourth proportional to 137,696.80, 206,545.20 and 122,663.20 is: 183,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.80 : 206,545.20 = 122,663.20 : x
  2. Step 2: Convert to fraction form
    137,696.80/206,545.20 = 122,663.20/x
  3. Step 3: Cross multiply
    137,696.80x = 206,545.20 × 122,663.20
  4. Step 4: Simplify right side
    137,696.80x = 25,335,495,176.64
  5. Step 5: Solve for x
    x = 25,335,495,176.64/137,696.80
  6. Step 6: Final answer
    x = 183,994.80

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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.