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Finding the Fourth Proportional to 233,271.97, 349,963.47 and 75,500.42

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Solution

The fourth proportional to 233,271.97, 349,963.47 and 75,500.42 is: 113,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271.97 : 349,963.47 = 75,500.42 : x
  2. Step 2: Convert to fraction form
    233,271.97/349,963.47 = 75,500.42/x
  3. Step 3: Cross multiply
    233,271.97x = 349,963.47 × 75,500.42
  4. Step 4: Simplify right side
    233,271.97x = 26,422,387,219.84
  5. Step 5: Solve for x
    x = 26,422,387,219.84/233,271.97
  6. Step 6: Final answer
    x = 113,268.59

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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.