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Finding the Fourth Proportional to 185,098.62, 277,612.80 and 90,233.39

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Solution

The fourth proportional to 185,098.62, 277,612.80 and 90,233.39 is: 135,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,098.62 : 277,612.80 = 90,233.39 : x
  2. Step 2: Convert to fraction form
    185,098.62/277,612.80 = 90,233.39/x
  3. Step 3: Cross multiply
    185,098.62x = 277,612.80 × 90,233.39
  4. Step 4: Simplify right side
    185,098.62x = 25,049,944,971.01
  5. Step 5: Solve for x
    x = 25,049,944,971.01/185,098.62
  6. Step 6: Final answer
    x = 135,332.97

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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.