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Finding the Fourth Proportional to 227,712.64, 341,530.24 and 61,461.76

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Solution

The fourth proportional to 227,712.64, 341,530.24 and 61,461.76 is: 92,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,712.64 : 341,530.24 = 61,461.76 : x
  2. Step 2: Convert to fraction form
    227,712.64/341,530.24 = 61,461.76/x
  3. Step 3: Cross multiply
    227,712.64x = 341,530.24 × 61,461.76
  4. Step 4: Simplify right side
    227,712.64x = 20,991,049,643.62
  5. Step 5: Solve for x
    x = 20,991,049,643.62/227,712.64
  6. Step 6: Final answer
    x = 92,182.19

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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.