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Finding the Fourth Proportional to 223,717.20, 308,733.84 and 123,113.04

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Solution

The fourth proportional to 223,717.20, 308,733.84 and 123,113.04 is: 169,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,717.20 : 308,733.84 = 123,113.04 : x
  2. Step 2: Convert to fraction form
    223,717.20/308,733.84 = 123,113.04/x
  3. Step 3: Cross multiply
    223,717.20x = 308,733.84 × 123,113.04
  4. Step 4: Simplify right side
    223,717.20x = 38,009,161,593.27
  5. Step 5: Solve for x
    x = 38,009,161,593.27/223,717.20
  6. Step 6: Final answer
    x = 169,898.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.