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Finding the Fourth Proportional to 223,952.50, 335,963.31 and 83,731.06

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Solution

The fourth proportional to 223,952.50, 335,963.31 and 83,731.06 is: 125,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,952.50 : 335,963.31 = 83,731.06 : x
  2. Step 2: Convert to fraction form
    223,952.50/335,963.31 = 83,731.06/x
  3. Step 3: Cross multiply
    223,952.50x = 335,963.31 × 83,731.06
  4. Step 4: Simplify right side
    223,952.50x = 28,130,564,067.41
  5. Step 5: Solve for x
    x = 28,130,564,067.41/223,952.50
  6. Step 6: Final answer
    x = 125,609.51

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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.