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Finding the Fourth Proportional to 243,356.31, 364,525.30 and 195,713.88

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Solution

The fourth proportional to 243,356.31, 364,525.30 and 195,713.88 is: 293,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,356.31 : 364,525.30 = 195,713.88 : x
  2. Step 2: Convert to fraction form
    243,356.31/364,525.30 = 195,713.88/x
  3. Step 3: Cross multiply
    243,356.31x = 364,525.30 × 195,713.88
  4. Step 4: Simplify right side
    243,356.31x = 71,342,660,331.88
  5. Step 5: Solve for x
    x = 71,342,660,331.88/243,356.31
  6. Step 6: Final answer
    x = 293,161.34

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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.