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Finding the Fourth Proportional to 194,963.60, 292,243.80 and 106,029.20

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Solution

The fourth proportional to 194,963.60, 292,243.80 and 106,029.20 is: 158,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,963.60 : 292,243.80 = 106,029.20 : x
  2. Step 2: Convert to fraction form
    194,963.60/292,243.80 = 106,029.20/x
  3. Step 3: Cross multiply
    194,963.60x = 292,243.80 × 106,029.20
  4. Step 4: Simplify right side
    194,963.60x = 30,986,376,318.96
  5. Step 5: Solve for x
    x = 30,986,376,318.96/194,963.60
  6. Step 6: Final answer
    x = 158,934.16

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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.