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Finding the Fourth Proportional to 195,196.68, 292,769.10 and 54,966.24

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Solution

The fourth proportional to 195,196.68, 292,769.10 and 54,966.24 is: 82,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,196.68 : 292,769.10 = 54,966.24 : x
  2. Step 2: Convert to fraction form
    195,196.68/292,769.10 = 54,966.24/x
  3. Step 3: Cross multiply
    195,196.68x = 292,769.10 × 54,966.24
  4. Step 4: Simplify right side
    195,196.68x = 16,092,416,615.18
  5. Step 5: Solve for x
    x = 16,092,416,615.18/195,196.68
  6. Step 6: Final answer
    x = 82,442.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.