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Finding the Fourth Proportional to 205,221.52, 308,299.44 and 148,470.52

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Solution

The fourth proportional to 205,221.52, 308,299.44 and 148,470.52 is: 223,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,221.52 : 308,299.44 = 148,470.52 : x
  2. Step 2: Convert to fraction form
    205,221.52/308,299.44 = 148,470.52/x
  3. Step 3: Cross multiply
    205,221.52x = 308,299.44 × 148,470.52
  4. Step 4: Simplify right side
    205,221.52x = 45,773,378,172.51
  5. Step 5: Solve for x
    x = 45,773,378,172.51/205,221.52
  6. Step 6: Final answer
    x = 223,043.75

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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.