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Finding the Fourth Proportional to 233,267.33, 349,956.52 and 75,495.78

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Solution

The fourth proportional to 233,267.33, 349,956.52 and 75,495.78 is: 113,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267.33 : 349,956.52 = 75,495.78 : x
  2. Step 2: Convert to fraction form
    233,267.33/349,956.52 = 75,495.78/x
  3. Step 3: Cross multiply
    233,267.33x = 349,956.52 × 75,495.78
  4. Step 4: Simplify right side
    233,267.33x = 26,420,240,443.49
  5. Step 5: Solve for x
    x = 26,420,240,443.49/233,267.33
  6. Step 6: Final answer
    x = 113,261.64

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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.