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Finding the Fourth Proportional to 252,079.60, 378,119.40 and 194,998.90

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Solution

The fourth proportional to 252,079.60, 378,119.40 and 194,998.90 is: 292,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,079.60 : 378,119.40 = 194,998.90 : x
  2. Step 2: Convert to fraction form
    252,079.60/378,119.40 = 194,998.90/x
  3. Step 3: Cross multiply
    252,079.60x = 378,119.40 × 194,998.90
  4. Step 4: Simplify right side
    252,079.60x = 73,732,867,068.66
  5. Step 5: Solve for x
    x = 73,732,867,068.66/252,079.60
  6. Step 6: Final answer
    x = 292,498.35

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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.