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Finding the Fourth Proportional to 295,247.60, 442,871.40 and 82,015.10

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Solution

The fourth proportional to 295,247.60, 442,871.40 and 82,015.10 is: 123,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,247.60 : 442,871.40 = 82,015.10 : x
  2. Step 2: Convert to fraction form
    295,247.60/442,871.40 = 82,015.10/x
  3. Step 3: Cross multiply
    295,247.60x = 442,871.40 × 82,015.10
  4. Step 4: Simplify right side
    295,247.60x = 36,322,142,158.14
  5. Step 5: Solve for x
    x = 36,322,142,158.14/295,247.60
  6. Step 6: Final answer
    x = 123,022.65

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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.