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Finding the Fourth Proportional to 202,964.65, 280,084.30 and 112,324.44

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Solution

The fourth proportional to 202,964.65, 280,084.30 and 112,324.44 is: 155,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.65 : 280,084.30 = 112,324.44 : x
  2. Step 2: Convert to fraction form
    202,964.65/280,084.30 = 112,324.44/x
  3. Step 3: Cross multiply
    202,964.65x = 280,084.30 × 112,324.44
  4. Step 4: Simplify right side
    202,964.65x = 31,460,312,150.29
  5. Step 5: Solve for x
    x = 31,460,312,150.29/202,964.65
  6. Step 6: Final answer
    x = 155,003.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.