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Finding the Fourth Proportional to 229,961.32, 344,915.69 and 61,494.78

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Solution

The fourth proportional to 229,961.32, 344,915.69 and 61,494.78 is: 92,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,961.32 : 344,915.69 = 61,494.78 : x
  2. Step 2: Convert to fraction form
    229,961.32/344,915.69 = 61,494.78/x
  3. Step 3: Cross multiply
    229,961.32x = 344,915.69 × 61,494.78
  4. Step 4: Simplify right side
    229,961.32x = 21,210,514,475.10
  5. Step 5: Solve for x
    x = 21,210,514,475.10/229,961.32
  6. Step 6: Final answer
    x = 92,235.14

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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.