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Finding the Fourth Proportional to 107,043.96, 160,535.70 and 67,541.88

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Solution

The fourth proportional to 107,043.96, 160,535.70 and 67,541.88 is: 101,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,043.96 : 160,535.70 = 67,541.88 : x
  2. Step 2: Convert to fraction form
    107,043.96/160,535.70 = 67,541.88/x
  3. Step 3: Cross multiply
    107,043.96x = 160,535.70 × 67,541.88
  4. Step 4: Simplify right side
    107,043.96x = 10,842,882,985.12
  5. Step 5: Solve for x
    x = 10,842,882,985.12/107,043.96
  6. Step 6: Final answer
    x = 101,293.74

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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.