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Finding the Fourth Proportional to 243,314.78, 364,463.23 and 195,671.90

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Solution

The fourth proportional to 243,314.78, 364,463.23 and 195,671.90 is: 293,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,314.78 : 364,463.23 = 195,671.90 : x
  2. Step 2: Convert to fraction form
    243,314.78/364,463.23 = 195,671.90/x
  3. Step 3: Cross multiply
    243,314.78x = 364,463.23 × 195,671.90
  4. Step 4: Simplify right side
    243,314.78x = 71,315,212,694.24
  5. Step 5: Solve for x
    x = 71,315,212,694.24/243,314.78
  6. Step 6: Final answer
    x = 293,098.56

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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.