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Finding the Fourth Proportional to 223,853.16, 335,896.38 and 99,165

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Solution

The fourth proportional to 223,853.16, 335,896.38 and 99,165 is: 148,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,853.16 : 335,896.38 = 99,165 : x
  2. Step 2: Convert to fraction form
    223,853.16/335,896.38 = 99,165/x
  3. Step 3: Cross multiply
    223,853.16x = 335,896.38 × 99,165
  4. Step 4: Simplify right side
    223,853.16x = 33,309,164,522.70
  5. Step 5: Solve for x
    x = 33,309,164,522.70/223,853.16
  6. Step 6: Final answer
    x = 148,799.17

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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.