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Finding the Fourth Proportional to 174,288, 240,517.44 and 94,800

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Solution

The fourth proportional to 174,288, 240,517.44 and 94,800 is: 130,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,288 : 240,517.44 = 94,800 : x
  2. Step 2: Convert to fraction form
    174,288/240,517.44 = 94,800/x
  3. Step 3: Cross multiply
    174,288x = 240,517.44 × 94,800
  4. Step 4: Simplify right side
    174,288x = 22,801,053,312
  5. Step 5: Solve for x
    x = 22,801,053,312/174,288
  6. Step 6: Final answer
    x = 130,824

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.