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Finding the Fourth Proportional to 151,257.88, 226,886.82 and 40,447

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Solution

The fourth proportional to 151,257.88, 226,886.82 and 40,447 is: 60,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,257.88 : 226,886.82 = 40,447 : x
  2. Step 2: Convert to fraction form
    151,257.88/226,886.82 = 40,447/x
  3. Step 3: Cross multiply
    151,257.88x = 226,886.82 × 40,447
  4. Step 4: Simplify right side
    151,257.88x = 9,176,891,208.54
  5. Step 5: Solve for x
    x = 9,176,891,208.54/151,257.88
  6. Step 6: Final answer
    x = 60,670.50

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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.