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Finding the Fourth Proportional to 204,900.60, 307,581.30 and 158,359.80

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Solution

The fourth proportional to 204,900.60, 307,581.30 and 158,359.80 is: 237,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,900.60 : 307,581.30 = 158,359.80 : x
  2. Step 2: Convert to fraction form
    204,900.60/307,581.30 = 158,359.80/x
  3. Step 3: Cross multiply
    204,900.60x = 307,581.30 × 158,359.80
  4. Step 4: Simplify right side
    204,900.60x = 48,708,513,151.74
  5. Step 5: Solve for x
    x = 48,708,513,151.74/204,900.60
  6. Step 6: Final answer
    x = 237,717.77

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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.