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Finding the Fourth Proportional to 136,191.86, 204,287.11 and 34,989.80

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Solution

The fourth proportional to 136,191.86, 204,287.11 and 34,989.80 is: 52,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191.86 : 204,287.11 = 34,989.80 : x
  2. Step 2: Convert to fraction form
    136,191.86/204,287.11 = 34,989.80/x
  3. Step 3: Cross multiply
    136,191.86x = 204,287.11 × 34,989.80
  4. Step 4: Simplify right side
    136,191.86x = 7,147,964,946.53
  5. Step 5: Solve for x
    x = 7,147,964,946.53/136,191.86
  6. Step 6: Final answer
    x = 52,484.52

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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.