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Finding the Fourth Proportional to 223,356.24, 335,318.67 and 144,799.20

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Solution

The fourth proportional to 223,356.24, 335,318.67 and 144,799.20 is: 217,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,356.24 : 335,318.67 = 144,799.20 : x
  2. Step 2: Convert to fraction form
    223,356.24/335,318.67 = 144,799.20/x
  3. Step 3: Cross multiply
    223,356.24x = 335,318.67 × 144,799.20
  4. Step 4: Simplify right side
    223,356.24x = 48,553,875,161.06
  5. Step 5: Solve for x
    x = 48,553,875,161.06/223,356.24
  6. Step 6: Final answer
    x = 217,383.11

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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.