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Finding the Fourth Proportional to 221,575.32, 305,796.06 and 132,151.32

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Solution

The fourth proportional to 221,575.32, 305,796.06 and 132,151.32 is: 182,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,575.32 : 305,796.06 = 132,151.32 : x
  2. Step 2: Convert to fraction form
    221,575.32/305,796.06 = 132,151.32/x
  3. Step 3: Cross multiply
    221,575.32x = 305,796.06 × 132,151.32
  4. Step 4: Simplify right side
    221,575.32x = 40,411,352,979.80
  5. Step 5: Solve for x
    x = 40,411,352,979.80/221,575.32
  6. Step 6: Final answer
    x = 182,382.01

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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.