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Finding the Fourth Proportional to 233,540, 322,286.48 and 127,556

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Solution

The fourth proportional to 233,540, 322,286.48 and 127,556 is: 176,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,540 : 322,286.48 = 127,556 : x
  2. Step 2: Convert to fraction form
    233,540/322,286.48 = 127,556/x
  3. Step 3: Cross multiply
    233,540x = 322,286.48 × 127,556
  4. Step 4: Simplify right side
    233,540x = 41,109,574,242.88
  5. Step 5: Solve for x
    x = 41,109,574,242.88/233,540
  6. Step 6: Final answer
    x = 176,027.98

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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.