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Finding the Fourth Proportional to 295,047.20, 442,714.80 and 137,194.40

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Solution

The fourth proportional to 295,047.20, 442,714.80 and 137,194.40 is: 205,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,047.20 : 442,714.80 = 137,194.40 : x
  2. Step 2: Convert to fraction form
    295,047.20/442,714.80 = 137,194.40/x
  3. Step 3: Cross multiply
    295,047.20x = 442,714.80 × 137,194.40
  4. Step 4: Simplify right side
    295,047.20x = 60,737,991,357.12
  5. Step 5: Solve for x
    x = 60,737,991,357.12/295,047.20
  6. Step 6: Final answer
    x = 205,858.56

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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.