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Finding the Fourth Proportional to 153,892.41, 230,919.87 and 109,202.52

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Solution

The fourth proportional to 153,892.41, 230,919.87 and 109,202.52 is: 163,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,892.41 : 230,919.87 = 109,202.52 : x
  2. Step 2: Convert to fraction form
    153,892.41/230,919.87 = 109,202.52/x
  3. Step 3: Cross multiply
    153,892.41x = 230,919.87 × 109,202.52
  4. Step 4: Simplify right side
    153,892.41x = 25,217,031,722.07
  5. Step 5: Solve for x
    x = 25,217,031,722.07/153,892.41
  6. Step 6: Final answer
    x = 163,861.44

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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.