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Finding the Fourth Proportional to 233,544, 322,291.08 and 132,942

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Solution

The fourth proportional to 233,544, 322,291.08 and 132,942 is: 183,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,544 : 322,291.08 = 132,942 : x
  2. Step 2: Convert to fraction form
    233,544/322,291.08 = 132,942/x
  3. Step 3: Cross multiply
    233,544x = 322,291.08 × 132,942
  4. Step 4: Simplify right side
    233,544x = 42,846,020,757.36
  5. Step 5: Solve for x
    x = 42,846,020,757.36/233,544
  6. Step 6: Final answer
    x = 183,460.16

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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.