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Finding the Fourth Proportional to 233,576, 322,335.24 and 132,974

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Solution

The fourth proportional to 233,576, 322,335.24 and 132,974 is: 183,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,576 : 322,335.24 = 132,974 : x
  2. Step 2: Convert to fraction form
    233,576/322,335.24 = 132,974/x
  3. Step 3: Cross multiply
    233,576x = 322,335.24 × 132,974
  4. Step 4: Simplify right side
    233,576x = 42,862,206,203.76
  5. Step 5: Solve for x
    x = 42,862,206,203.76/233,576
  6. Step 6: Final answer
    x = 183,504.32

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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.