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Finding the Fourth Proportional to 233,842.48, 322,709.88 and 133,234

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Solution

The fourth proportional to 233,842.48, 322,709.88 and 133,234 is: 183,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,842.48 : 322,709.88 = 133,234 : x
  2. Step 2: Convert to fraction form
    233,842.48/322,709.88 = 133,234/x
  3. Step 3: Cross multiply
    233,842.48x = 322,709.88 × 133,234
  4. Step 4: Simplify right side
    233,842.48x = 42,995,928,151.92
  5. Step 5: Solve for x
    x = 42,995,928,151.92/233,842.48
  6. Step 6: Final answer
    x = 183,867.06

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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.