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Finding the Fourth Proportional to 295,268.70, 442,973.16 and 95,589.12

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Solution

The fourth proportional to 295,268.70, 442,973.16 and 95,589.12 is: 143,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,268.70 : 442,973.16 = 95,589.12 : x
  2. Step 2: Convert to fraction form
    295,268.70/442,973.16 = 95,589.12/x
  3. Step 3: Cross multiply
    295,268.70x = 442,973.16 × 95,589.12
  4. Step 4: Simplify right side
    295,268.70x = 42,343,414,548.02
  5. Step 5: Solve for x
    x = 42,343,414,548.02/295,268.70
  6. Step 6: Final answer
    x = 143,406.38

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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.