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Finding the Fourth Proportional to 151,254.88, 226,882.32 and 40,444

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Solution

The fourth proportional to 151,254.88, 226,882.32 and 40,444 is: 60,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,254.88 : 226,882.32 = 40,444 : x
  2. Step 2: Convert to fraction form
    151,254.88/226,882.32 = 40,444/x
  3. Step 3: Cross multiply
    151,254.88x = 226,882.32 × 40,444
  4. Step 4: Simplify right side
    151,254.88x = 9,176,028,550.08
  5. Step 5: Solve for x
    x = 9,176,028,550.08/151,254.88
  6. Step 6: Final answer
    x = 60,666

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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.