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Finding the Fourth Proportional to 223,875.20, 335,601.66 and 111,449

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Solution

The fourth proportional to 223,875.20, 335,601.66 and 111,449 is: 167,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,875.20 : 335,601.66 = 111,449 : x
  2. Step 2: Convert to fraction form
    223,875.20/335,601.66 = 111,449/x
  3. Step 3: Cross multiply
    223,875.20x = 335,601.66 × 111,449
  4. Step 4: Simplify right side
    223,875.20x = 37,402,469,405.34
  5. Step 5: Solve for x
    x = 37,402,469,405.34/223,875.20
  6. Step 6: Final answer
    x = 167,068.39

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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.