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Finding the Fourth Proportional to 256,041, 353,456.14 and 148,590.27

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Solution

The fourth proportional to 256,041, 353,456.14 and 148,590.27 is: 205,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041 : 353,456.14 = 148,590.27 : x
  2. Step 2: Convert to fraction form
    256,041/353,456.14 = 148,590.27/x
  3. Step 3: Cross multiply
    256,041x = 353,456.14 × 148,590.27
  4. Step 4: Simplify right side
    256,041x = 52,520,141,508.48
  5. Step 5: Solve for x
    x = 52,520,141,508.48/256,041
  6. Step 6: Final answer
    x = 205,123.95

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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.