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Finding the Fourth Proportional to 159,760.12, 220,429.59 and 97,654.93

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Solution

The fourth proportional to 159,760.12, 220,429.59 and 97,654.93 is: 134,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,760.12 : 220,429.59 = 97,654.93 : x
  2. Step 2: Convert to fraction form
    159,760.12/220,429.59 = 97,654.93/x
  3. Step 3: Cross multiply
    159,760.12x = 220,429.59 × 97,654.93
  4. Step 4: Simplify right side
    159,760.12x = 21,526,036,181.38
  5. Step 5: Solve for x
    x = 21,526,036,181.38/159,760.12
  6. Step 6: Final answer
    x = 134,739.73

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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.