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Finding the Fourth Proportional to 153,773.92, 230,694.74 and 47,172.56

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Solution

The fourth proportional to 153,773.92, 230,694.74 and 47,172.56 is: 70,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,773.92 : 230,694.74 = 47,172.56 : x
  2. Step 2: Convert to fraction form
    153,773.92/230,694.74 = 47,172.56/x
  3. Step 3: Cross multiply
    153,773.92x = 230,694.74 × 47,172.56
  4. Step 4: Simplify right side
    153,773.92x = 10,882,461,464.33
  5. Step 5: Solve for x
    x = 10,882,461,464.33/153,773.92
  6. Step 6: Final answer
    x = 70,769.23

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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.