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Finding the Fourth Proportional to 223,412.16, 307,991.52 and 177,689.28

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Solution

The fourth proportional to 223,412.16, 307,991.52 and 177,689.28 is: 244,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,412.16 : 307,991.52 = 177,689.28 : x
  2. Step 2: Convert to fraction form
    223,412.16/307,991.52 = 177,689.28/x
  3. Step 3: Cross multiply
    223,412.16x = 307,991.52 × 177,689.28
  4. Step 4: Simplify right side
    223,412.16x = 54,726,791,434.91
  5. Step 5: Solve for x
    x = 54,726,791,434.91/223,412.16
  6. Step 6: Final answer
    x = 244,958.88

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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.