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Finding the Fourth Proportional to 227,718.64, 341,539.24 and 61,467.76

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Solution

The fourth proportional to 227,718.64, 341,539.24 and 61,467.76 is: 92,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,718.64 : 341,539.24 = 61,467.76 : x
  2. Step 2: Convert to fraction form
    227,718.64/341,539.24 = 61,467.76/x
  3. Step 3: Cross multiply
    227,718.64x = 341,539.24 × 61,467.76
  4. Step 4: Simplify right side
    227,718.64x = 20,993,652,034.90
  5. Step 5: Solve for x
    x = 20,993,652,034.90/227,718.64
  6. Step 6: Final answer
    x = 92,191.19

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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.