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Finding the Fourth Proportional to 252,100.44, 347,894.15 and 137,380.10

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Solution

The fourth proportional to 252,100.44, 347,894.15 and 137,380.10 is: 189,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,100.44 : 347,894.15 = 137,380.10 : x
  2. Step 2: Convert to fraction form
    252,100.44/347,894.15 = 137,380.10/x
  3. Step 3: Cross multiply
    252,100.44x = 347,894.15 × 137,380.10
  4. Step 4: Simplify right side
    252,100.44x = 47,793,730,690.04
  5. Step 5: Solve for x
    x = 47,793,730,690.04/252,100.44
  6. Step 6: Final answer
    x = 189,582.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.