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Finding the Fourth Proportional to 133,478.60, 200,217.90 and 54,566.60

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Solution

The fourth proportional to 133,478.60, 200,217.90 and 54,566.60 is: 81,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,478.60 : 200,217.90 = 54,566.60 : x
  2. Step 2: Convert to fraction form
    133,478.60/200,217.90 = 54,566.60/x
  3. Step 3: Cross multiply
    133,478.60x = 200,217.90 × 54,566.60
  4. Step 4: Simplify right side
    133,478.60x = 10,925,210,062.14
  5. Step 5: Solve for x
    x = 10,925,210,062.14/133,478.60
  6. Step 6: Final answer
    x = 81,849.90

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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.