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Finding the Fourth Proportional to 223,844.31, 335,755.53 and 83,592

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Solution

The fourth proportional to 223,844.31, 335,755.53 and 83,592 is: 125,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844.31 : 335,755.53 = 83,592 : x
  2. Step 2: Convert to fraction form
    223,844.31/335,755.53 = 83,592/x
  3. Step 3: Cross multiply
    223,844.31x = 335,755.53 × 83,592
  4. Step 4: Simplify right side
    223,844.31x = 28,066,476,263.76
  5. Step 5: Solve for x
    x = 28,066,476,263.76/223,844.31
  6. Step 6: Final answer
    x = 125,383.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.