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Finding the Fourth Proportional to 160,052.57, 240,197.25 and 75,813.17

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Solution

The fourth proportional to 160,052.57, 240,197.25 and 75,813.17 is: 113,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,052.57 : 240,197.25 = 75,813.17 : x
  2. Step 2: Convert to fraction form
    160,052.57/240,197.25 = 75,813.17/x
  3. Step 3: Cross multiply
    160,052.57x = 240,197.25 × 75,813.17
  4. Step 4: Simplify right side
    160,052.57x = 18,210,113,746.80
  5. Step 5: Solve for x
    x = 18,210,113,746.80/160,052.57
  6. Step 6: Final answer
    x = 113,775.83

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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.