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Finding the Fourth Proportional to 153,249.60, 229,874.40 and 106,593.60

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Solution

The fourth proportional to 153,249.60, 229,874.40 and 106,593.60 is: 159,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249.60 : 229,874.40 = 106,593.60 : x
  2. Step 2: Convert to fraction form
    153,249.60/229,874.40 = 106,593.60/x
  3. Step 3: Cross multiply
    153,249.60x = 229,874.40 × 106,593.60
  4. Step 4: Simplify right side
    153,249.60x = 24,503,139,843.84
  5. Step 5: Solve for x
    x = 24,503,139,843.84/153,249.60
  6. Step 6: Final answer
    x = 159,890.40

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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.