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Finding the Fourth Proportional to 227,856.10, 341,784.15 and 61,644.10

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Solution

The fourth proportional to 227,856.10, 341,784.15 and 61,644.10 is: 92,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,856.10 : 341,784.15 = 61,644.10 : x
  2. Step 2: Convert to fraction form
    227,856.10/341,784.15 = 61,644.10/x
  3. Step 3: Cross multiply
    227,856.10x = 341,784.15 × 61,644.10
  4. Step 4: Simplify right side
    227,856.10x = 21,068,976,321.02
  5. Step 5: Solve for x
    x = 21,068,976,321.02/227,856.10
  6. Step 6: Final answer
    x = 92,466.15

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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.