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Finding the Fourth Proportional to 175,965.67, 263,943.38 and 42,844

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Solution

The fourth proportional to 175,965.67, 263,943.38 and 42,844 is: 64,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,965.67 : 263,943.38 = 42,844 : x
  2. Step 2: Convert to fraction form
    175,965.67/263,943.38 = 42,844/x
  3. Step 3: Cross multiply
    175,965.67x = 263,943.38 × 42,844
  4. Step 4: Simplify right side
    175,965.67x = 11,308,389,958.50
  5. Step 5: Solve for x
    x = 11,308,389,958.50/175,965.67
  6. Step 6: Final answer
    x = 64,264.75

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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.