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Finding the Fourth Proportional to 223,729.90, 335,717.87 and 105,398.21

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Solution

The fourth proportional to 223,729.90, 335,717.87 and 105,398.21 is: 158,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,729.90 : 335,717.87 = 105,398.21 : x
  2. Step 2: Convert to fraction form
    223,729.90/335,717.87 = 105,398.21/x
  3. Step 3: Cross multiply
    223,729.90x = 335,717.87 × 105,398.21
  4. Step 4: Simplify right side
    223,729.90x = 35,384,062,875.32
  5. Step 5: Solve for x
    x = 35,384,062,875.32/223,729.90
  6. Step 6: Final answer
    x = 158,155.27

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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.