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Finding the Fourth Proportional to 233,184, 321,793.92 and 132,582

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Solution

The fourth proportional to 233,184, 321,793.92 and 132,582 is: 182,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,184 : 321,793.92 = 132,582 : x
  2. Step 2: Convert to fraction form
    233,184/321,793.92 = 132,582/x
  3. Step 3: Cross multiply
    233,184x = 321,793.92 × 132,582
  4. Step 4: Simplify right side
    233,184x = 42,664,081,501.44
  5. Step 5: Solve for x
    x = 42,664,081,501.44/233,184
  6. Step 6: Final answer
    x = 182,963.16

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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.