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Finding the Fourth Proportional to 136,495.60, 204,646.20 and 52,223.20

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Solution

The fourth proportional to 136,495.60, 204,646.20 and 52,223.20 is: 78,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,495.60 : 204,646.20 = 52,223.20 : x
  2. Step 2: Convert to fraction form
    136,495.60/204,646.20 = 52,223.20/x
  3. Step 3: Cross multiply
    136,495.60x = 204,646.20 × 52,223.20
  4. Step 4: Simplify right side
    136,495.60x = 10,687,279,431.84
  5. Step 5: Solve for x
    x = 10,687,279,431.84/136,495.60
  6. Step 6: Final answer
    x = 78,297.61

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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.