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Finding the Fourth Proportional to 155,470.82, 233,213.52 and 50,298

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Solution

The fourth proportional to 155,470.82, 233,213.52 and 50,298 is: 75,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,470.82 : 233,213.52 = 50,298 : x
  2. Step 2: Convert to fraction form
    155,470.82/233,213.52 = 50,298/x
  3. Step 3: Cross multiply
    155,470.82x = 233,213.52 × 50,298
  4. Step 4: Simplify right side
    155,470.82x = 11,730,173,628.96
  5. Step 5: Solve for x
    x = 11,730,173,628.96/155,470.82
  6. Step 6: Final answer
    x = 75,449.36

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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.