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Finding the Fourth Proportional to 151,254.48, 226,902.78 and 67,008

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Solution

The fourth proportional to 151,254.48, 226,902.78 and 67,008 is: 100,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,254.48 : 226,902.78 = 67,008 : x
  2. Step 2: Convert to fraction form
    151,254.48/226,902.78 = 67,008/x
  3. Step 3: Cross multiply
    151,254.48x = 226,902.78 × 67,008
  4. Step 4: Simplify right side
    151,254.48x = 15,204,301,482.24
  5. Step 5: Solve for x
    x = 15,204,301,482.24/151,254.48
  6. Step 6: Final answer
    x = 100,521.33

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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.