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Finding the Fourth Proportional to 136,601.40, 204,902.10 and 77,552.40

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Solution

The fourth proportional to 136,601.40, 204,902.10 and 77,552.40 is: 116,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,601.40 : 204,902.10 = 77,552.40 : x
  2. Step 2: Convert to fraction form
    136,601.40/204,902.10 = 77,552.40/x
  3. Step 3: Cross multiply
    136,601.40x = 204,902.10 × 77,552.40
  4. Step 4: Simplify right side
    136,601.40x = 15,890,649,620.04
  5. Step 5: Solve for x
    x = 15,890,649,620.04/136,601.40
  6. Step 6: Final answer
    x = 116,328.60

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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.