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Finding the Fourth Proportional to 295,235.60, 442,853.40 and 82,003.10

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Solution

The fourth proportional to 295,235.60, 442,853.40 and 82,003.10 is: 123,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,235.60 : 442,853.40 = 82,003.10 : x
  2. Step 2: Convert to fraction form
    295,235.60/442,853.40 = 82,003.10/x
  3. Step 3: Cross multiply
    295,235.60x = 442,853.40 × 82,003.10
  4. Step 4: Simplify right side
    295,235.60x = 36,315,351,645.54
  5. Step 5: Solve for x
    x = 36,315,351,645.54/295,235.60
  6. Step 6: Final answer
    x = 123,004.65

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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.