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Finding the Fourth Proportional to 206,751.15, 285,295.37 and 116,117.15

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Solution

The fourth proportional to 206,751.15, 285,295.37 and 116,117.15 is: 160,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751.15 : 285,295.37 = 116,117.15 : x
  2. Step 2: Convert to fraction form
    206,751.15/285,295.37 = 116,117.15/x
  3. Step 3: Cross multiply
    206,751.15x = 285,295.37 × 116,117.15
  4. Step 4: Simplify right side
    206,751.15x = 33,127,683,265.53
  5. Step 5: Solve for x
    x = 33,127,683,265.53/206,751.15
  6. Step 6: Final answer
    x = 160,229.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.