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Finding the Fourth Proportional to 233,267.49, 349,956.75 and 75,495.94

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Solution

The fourth proportional to 233,267.49, 349,956.75 and 75,495.94 is: 113,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267.49 : 349,956.75 = 75,495.94 : x
  2. Step 2: Convert to fraction form
    233,267.49/349,956.75 = 75,495.94/x
  3. Step 3: Cross multiply
    233,267.49x = 349,956.75 × 75,495.94
  4. Step 4: Simplify right side
    233,267.49x = 26,420,313,800.60
  5. Step 5: Solve for x
    x = 26,420,313,800.60/233,267.49
  6. Step 6: Final answer
    x = 113,261.88

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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.