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Finding the Fourth Proportional to 229,115.14, 343,924.11 and 182,032.87

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Solution

The fourth proportional to 229,115.14, 343,924.11 and 182,032.87 is: 273,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,115.14 : 343,924.11 = 182,032.87 : x
  2. Step 2: Convert to fraction form
    229,115.14/343,924.11 = 182,032.87/x
  3. Step 3: Cross multiply
    229,115.14x = 343,924.11 × 182,032.87
  4. Step 4: Simplify right side
    229,115.14x = 62,605,492,805.50
  5. Step 5: Solve for x
    x = 62,605,492,805.50/229,115.14
  6. Step 6: Final answer
    x = 273,249.04

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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.