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Finding the Fourth Proportional to 196,449.64, 294,543.22 and 61,468

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Solution

The fourth proportional to 196,449.64, 294,543.22 and 61,468 is: 92,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,449.64 : 294,543.22 = 61,468 : x
  2. Step 2: Convert to fraction form
    196,449.64/294,543.22 = 61,468/x
  3. Step 3: Cross multiply
    196,449.64x = 294,543.22 × 61,468
  4. Step 4: Simplify right side
    196,449.64x = 18,104,982,646.96
  5. Step 5: Solve for x
    x = 18,104,982,646.96/196,449.64
  6. Step 6: Final answer
    x = 92,160.94

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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.