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Finding the Fourth Proportional to 200,078.20, 299,714.10 and 124,967.80

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Solution

The fourth proportional to 200,078.20, 299,714.10 and 124,967.80 is: 187,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.20 : 299,714.10 = 124,967.80 : x
  2. Step 2: Convert to fraction form
    200,078.20/299,714.10 = 124,967.80/x
  3. Step 3: Cross multiply
    200,078.20x = 299,714.10 × 124,967.80
  4. Step 4: Simplify right side
    200,078.20x = 37,454,611,705.98
  5. Step 5: Solve for x
    x = 37,454,611,705.98/200,078.20
  6. Step 6: Final answer
    x = 187,199.86

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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.