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Finding the Fourth Proportional to 151,995, 227,995.74 and 52,154.76

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Solution

The fourth proportional to 151,995, 227,995.74 and 52,154.76 is: 78,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,995 : 227,995.74 = 52,154.76 : x
  2. Step 2: Convert to fraction form
    151,995/227,995.74 = 52,154.76/x
  3. Step 3: Cross multiply
    151,995x = 227,995.74 × 52,154.76
  4. Step 4: Simplify right side
    151,995x = 11,891,063,100.72
  5. Step 5: Solve for x
    x = 11,891,063,100.72/151,995
  6. Step 6: Final answer
    x = 78,233.25

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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.