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Finding the Fourth Proportional to 232,258.78, 348,404.37 and 92,017

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Solution

The fourth proportional to 232,258.78, 348,404.37 and 92,017 is: 138,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,258.78 : 348,404.37 = 92,017 : x
  2. Step 2: Convert to fraction form
    232,258.78/348,404.37 = 92,017/x
  3. Step 3: Cross multiply
    232,258.78x = 348,404.37 × 92,017
  4. Step 4: Simplify right side
    232,258.78x = 32,059,124,914.29
  5. Step 5: Solve for x
    x = 32,059,124,914.29/232,258.78
  6. Step 6: Final answer
    x = 138,031.92

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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.