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Finding the Fourth Proportional to 206,834.04, 285,399.86 and 116,172.62

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Solution

The fourth proportional to 206,834.04, 285,399.86 and 116,172.62 is: 160,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834.04 : 285,399.86 = 116,172.62 : x
  2. Step 2: Convert to fraction form
    206,834.04/285,399.86 = 116,172.62/x
  3. Step 3: Cross multiply
    206,834.04x = 285,399.86 × 116,172.62
  4. Step 4: Simplify right side
    206,834.04x = 33,155,649,483.83
  5. Step 5: Solve for x
    x = 33,155,649,483.83/206,834.04
  6. Step 6: Final answer
    x = 160,300.74

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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.