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Finding the Fourth Proportional to 151,243.88, 226,865.82 and 40,433

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Solution

The fourth proportional to 151,243.88, 226,865.82 and 40,433 is: 60,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,243.88 : 226,865.82 = 40,433 : x
  2. Step 2: Convert to fraction form
    151,243.88/226,865.82 = 40,433/x
  3. Step 3: Cross multiply
    151,243.88x = 226,865.82 × 40,433
  4. Step 4: Simplify right side
    151,243.88x = 9,172,865,700.06
  5. Step 5: Solve for x
    x = 9,172,865,700.06/151,243.88
  6. Step 6: Final answer
    x = 60,649.50

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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.