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Finding the Fourth Proportional to 223,735.06, 335,744.16 and 202,718.02

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Solution

The fourth proportional to 223,735.06, 335,744.16 and 202,718.02 is: 304,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,735.06 : 335,744.16 = 202,718.02 : x
  2. Step 2: Convert to fraction form
    223,735.06/335,744.16 = 202,718.02/x
  3. Step 3: Cross multiply
    223,735.06x = 335,744.16 × 202,718.02
  4. Step 4: Simplify right side
    223,735.06x = 68,061,391,341.76
  5. Step 5: Solve for x
    x = 68,061,391,341.76/223,735.06
  6. Step 6: Final answer
    x = 304,205.30

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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.