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Finding the Fourth Proportional to 107,078.27, 160,484.12 and 69,027.20

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Solution

The fourth proportional to 107,078.27, 160,484.12 and 69,027.20 is: 103,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,078.27 : 160,484.12 = 69,027.20 : x
  2. Step 2: Convert to fraction form
    107,078.27/160,484.12 = 69,027.20/x
  3. Step 3: Cross multiply
    107,078.27x = 160,484.12 × 69,027.20
  4. Step 4: Simplify right side
    107,078.27x = 11,077,769,678.06
  5. Step 5: Solve for x
    x = 11,077,769,678.06/107,078.27
  6. Step 6: Final answer
    x = 103,454.88

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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.