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Finding the Fourth Proportional to 106,248.81, 146,621.43 and 57,851.31

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Solution

The fourth proportional to 106,248.81, 146,621.43 and 57,851.31 is: 79,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,248.81 : 146,621.43 = 57,851.31 : x
  2. Step 2: Convert to fraction form
    106,248.81/146,621.43 = 57,851.31/x
  3. Step 3: Cross multiply
    106,248.81x = 146,621.43 × 57,851.31
  4. Step 4: Simplify right side
    106,248.81x = 8,482,241,799.57
  5. Step 5: Solve for x
    x = 8,482,241,799.57/106,248.81
  6. Step 6: Final answer
    x = 79,833.76

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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.