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Finding the Fourth Proportional to 233,642.40, 350,476.02 and 75,859.26

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Solution

The fourth proportional to 233,642.40, 350,476.02 and 75,859.26 is: 113,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,642.40 : 350,476.02 = 75,859.26 : x
  2. Step 2: Convert to fraction form
    233,642.40/350,476.02 = 75,859.26/x
  3. Step 3: Cross multiply
    233,642.40x = 350,476.02 × 75,859.26
  4. Step 4: Simplify right side
    233,642.40x = 26,586,851,524.95
  5. Step 5: Solve for x
    x = 26,586,851,524.95/233,642.40
  6. Step 6: Final answer
    x = 113,792.92

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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.