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Finding the Fourth Proportional to 151,881.71, 227,854.96 and 52,015.19

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Solution

The fourth proportional to 151,881.71, 227,854.96 and 52,015.19 is: 78,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,881.71 : 227,854.96 = 52,015.19 : x
  2. Step 2: Convert to fraction form
    151,881.71/227,854.96 = 52,015.19/x
  3. Step 3: Cross multiply
    151,881.71x = 227,854.96 × 52,015.19
  4. Step 4: Simplify right side
    151,881.71x = 11,851,917,767.53
  5. Step 5: Solve for x
    x = 11,851,917,767.53/151,881.71
  6. Step 6: Final answer
    x = 78,033.87

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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.