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Finding the Fourth Proportional to 233,266.33, 349,955.02 and 75,494.78

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Solution

The fourth proportional to 233,266.33, 349,955.02 and 75,494.78 is: 113,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.33 : 349,955.02 = 75,494.78 : x
  2. Step 2: Convert to fraction form
    233,266.33/349,955.02 = 75,494.78/x
  3. Step 3: Cross multiply
    233,266.33x = 349,955.02 × 75,494.78
  4. Step 4: Simplify right side
    233,266.33x = 26,419,776,477.06
  5. Step 5: Solve for x
    x = 26,419,776,477.06/233,266.33
  6. Step 6: Final answer
    x = 113,260.14

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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.