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Finding the Fourth Proportional to 106,958.73, 160,462.40 and 57,012.51

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Solution

The fourth proportional to 106,958.73, 160,462.40 and 57,012.51 is: 85,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958.73 : 160,462.40 = 57,012.51 : x
  2. Step 2: Convert to fraction form
    106,958.73/160,462.40 = 57,012.51/x
  3. Step 3: Cross multiply
    106,958.73x = 160,462.40 × 57,012.51
  4. Step 4: Simplify right side
    106,958.73x = 9,148,364,184.62
  5. Step 5: Solve for x
    x = 9,148,364,184.62/106,958.73
  6. Step 6: Final answer
    x = 85,531.72

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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.