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Finding the Fourth Proportional to 223,632, 308,612.16 and 123,027.84

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Solution

The fourth proportional to 223,632, 308,612.16 and 123,027.84 is: 169,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,632 : 308,612.16 = 123,027.84 : x
  2. Step 2: Convert to fraction form
    223,632/308,612.16 = 123,027.84/x
  3. Step 3: Cross multiply
    223,632x = 308,612.16 × 123,027.84
  4. Step 4: Simplify right side
    223,632x = 37,967,887,442.53
  5. Step 5: Solve for x
    x = 37,967,887,442.53/223,632
  6. Step 6: Final answer
    x = 169,778.42

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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.