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Finding the Fourth Proportional to 197,691.57, 272,808.45 and 111,654

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Solution

The fourth proportional to 197,691.57, 272,808.45 and 111,654 is: 154,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,691.57 : 272,808.45 = 111,654 : x
  2. Step 2: Convert to fraction form
    197,691.57/272,808.45 = 111,654/x
  3. Step 3: Cross multiply
    197,691.57x = 272,808.45 × 111,654
  4. Step 4: Simplify right side
    197,691.57x = 30,460,154,676.30
  5. Step 5: Solve for x
    x = 30,460,154,676.30/197,691.57
  6. Step 6: Final answer
    x = 154,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.