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Finding the Fourth Proportional to 107,314.76, 160,862.70 and 48,134.54

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Solution

The fourth proportional to 107,314.76, 160,862.70 and 48,134.54 is: 72,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314.76 : 160,862.70 = 48,134.54 : x
  2. Step 2: Convert to fraction form
    107,314.76/160,862.70 = 48,134.54/x
  3. Step 3: Cross multiply
    107,314.76x = 160,862.70 × 48,134.54
  4. Step 4: Simplify right side
    107,314.76x = 7,743,052,067.66
  5. Step 5: Solve for x
    x = 7,743,052,067.66/107,314.76
  6. Step 6: Final answer
    x = 72,152.72

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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.