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Finding the Fourth Proportional to 295,268.85, 442,237.32 and 137,164.59

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Solution

The fourth proportional to 295,268.85, 442,237.32 and 137,164.59 is: 205,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,268.85 : 442,237.32 = 137,164.59 : x
  2. Step 2: Convert to fraction form
    295,268.85/442,237.32 = 137,164.59/x
  3. Step 3: Cross multiply
    295,268.85x = 442,237.32 × 137,164.59
  4. Step 4: Simplify right side
    295,268.85x = 60,659,300,680.50
  5. Step 5: Solve for x
    x = 60,659,300,680.50/295,268.85
  6. Step 6: Final answer
    x = 205,437.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.