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Finding the Fourth Proportional to 251,548.96, 347,036.92 and 160,884

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Solution

The fourth proportional to 251,548.96, 347,036.92 and 160,884 is: 221,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,548.96 : 347,036.92 = 160,884 : x
  2. Step 2: Convert to fraction form
    251,548.96/347,036.92 = 160,884/x
  3. Step 3: Cross multiply
    251,548.96x = 347,036.92 × 160,884
  4. Step 4: Simplify right side
    251,548.96x = 55,832,687,837.28
  5. Step 5: Solve for x
    x = 55,832,687,837.28/251,548.96
  6. Step 6: Final answer
    x = 221,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.