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Finding the Fourth Proportional to 185,098.38, 255,391.86 and 107,527.88

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Solution

The fourth proportional to 185,098.38, 255,391.86 and 107,527.88 is: 148,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,098.38 : 255,391.86 = 107,527.88 : x
  2. Step 2: Convert to fraction form
    185,098.38/255,391.86 = 107,527.88/x
  3. Step 3: Cross multiply
    185,098.38x = 255,391.86 × 107,527.88
  4. Step 4: Simplify right side
    185,098.38x = 27,461,745,296.05
  5. Step 5: Solve for x
    x = 27,461,745,296.05/185,098.38
  6. Step 6: Final answer
    x = 148,362.97

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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.