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Finding the Fourth Proportional to 227,371.32, 341,065.98 and 85,201.74

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Solution

The fourth proportional to 227,371.32, 341,065.98 and 85,201.74 is: 127,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,371.32 : 341,065.98 = 85,201.74 : x
  2. Step 2: Convert to fraction form
    227,371.32/341,065.98 = 85,201.74/x
  3. Step 3: Cross multiply
    227,371.32x = 341,065.98 × 85,201.74
  4. Step 4: Simplify right side
    227,371.32x = 29,059,414,950.81
  5. Step 5: Solve for x
    x = 29,059,414,950.81/227,371.32
  6. Step 6: Final answer
    x = 127,805.98

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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.