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Finding the Fourth Proportional to 223,956.80, 335,935.20 and 160,971.20

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Solution

The fourth proportional to 223,956.80, 335,935.20 and 160,971.20 is: 241,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,956.80 : 335,935.20 = 160,971.20 : x
  2. Step 2: Convert to fraction form
    223,956.80/335,935.20 = 160,971.20/x
  3. Step 3: Cross multiply
    223,956.80x = 335,935.20 × 160,971.20
  4. Step 4: Simplify right side
    223,956.80x = 54,075,892,266.24
  5. Step 5: Solve for x
    x = 54,075,892,266.24/223,956.80
  6. Step 6: Final answer
    x = 241,456.80

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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.