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Finding the Fourth Proportional to 133,806.16, 200,727.60 and 77,672.62

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Solution

The fourth proportional to 133,806.16, 200,727.60 and 77,672.62 is: 116,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.16 : 200,727.60 = 77,672.62 : x
  2. Step 2: Convert to fraction form
    133,806.16/200,727.60 = 77,672.62/x
  3. Step 3: Cross multiply
    133,806.16x = 200,727.60 × 77,672.62
  4. Step 4: Simplify right side
    133,806.16x = 15,591,038,598.31
  5. Step 5: Solve for x
    x = 15,591,038,598.31/133,806.16
  6. Step 6: Final answer
    x = 116,519.59

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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.