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Finding the Fourth Proportional to 238,524.52, 329,026.78 and 148,945

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Solution

The fourth proportional to 238,524.52, 329,026.78 and 148,945 is: 205,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,524.52 : 329,026.78 = 148,945 : x
  2. Step 2: Convert to fraction form
    238,524.52/329,026.78 = 148,945/x
  3. Step 3: Cross multiply
    238,524.52x = 329,026.78 × 148,945
  4. Step 4: Simplify right side
    238,524.52x = 49,006,893,747.10
  5. Step 5: Solve for x
    x = 49,006,893,747.10/238,524.52
  6. Step 6: Final answer
    x = 205,458.52

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1.5x scale

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.