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Finding the Fourth Proportional to 227,546.34, 341,065.08 and 85,254.72

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Solution

The fourth proportional to 227,546.34, 341,065.08 and 85,254.72 is: 127,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,546.34 : 341,065.08 = 85,254.72 : x
  2. Step 2: Convert to fraction form
    227,546.34/341,065.08 = 85,254.72/x
  3. Step 3: Cross multiply
    227,546.34x = 341,065.08 × 85,254.72
  4. Step 4: Simplify right side
    227,546.34x = 29,077,407,897.18
  5. Step 5: Solve for x
    x = 29,077,407,897.18/227,546.34
  6. Step 6: Final answer
    x = 127,786.75

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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.