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Finding the Fourth Proportional to 155,460.82, 233,198.52 and 50,288

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Solution

The fourth proportional to 155,460.82, 233,198.52 and 50,288 is: 75,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,460.82 : 233,198.52 = 50,288 : x
  2. Step 2: Convert to fraction form
    155,460.82/233,198.52 = 50,288/x
  3. Step 3: Cross multiply
    155,460.82x = 233,198.52 × 50,288
  4. Step 4: Simplify right side
    155,460.82x = 11,727,087,173.76
  5. Step 5: Solve for x
    x = 11,727,087,173.76/155,460.82
  6. Step 6: Final answer
    x = 75,434.36

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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.