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Finding the Fourth Proportional to 107,056.40, 160,411.80 and 67,542.80

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Solution

The fourth proportional to 107,056.40, 160,411.80 and 67,542.80 is: 101,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056.40 : 160,411.80 = 67,542.80 : x
  2. Step 2: Convert to fraction form
    107,056.40/160,411.80 = 67,542.80/x
  3. Step 3: Cross multiply
    107,056.40x = 160,411.80 × 67,542.80
  4. Step 4: Simplify right side
    107,056.40x = 10,834,662,125.04
  5. Step 5: Solve for x
    x = 10,834,662,125.04/107,056.40
  6. Step 6: Final answer
    x = 101,205.18

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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.