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Finding the Fourth Proportional to 233,266.80, 349,955.72 and 75,495.25

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Solution

The fourth proportional to 233,266.80, 349,955.72 and 75,495.25 is: 113,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.80 : 349,955.72 = 75,495.25 : x
  2. Step 2: Convert to fraction form
    233,266.80/349,955.72 = 75,495.25/x
  3. Step 3: Cross multiply
    233,266.80x = 349,955.72 × 75,495.25
  4. Step 4: Simplify right side
    233,266.80x = 26,419,994,913.41
  5. Step 5: Solve for x
    x = 26,419,994,913.41/233,266.80
  6. Step 6: Final answer
    x = 113,260.85

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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.