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Finding the Fourth Proportional to 202,045.38, 300,682.50 and 195,317.92

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Solution

The fourth proportional to 202,045.38, 300,682.50 and 195,317.92 is: 290,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,045.38 : 300,682.50 = 195,317.92 : x
  2. Step 2: Convert to fraction form
    202,045.38/300,682.50 = 195,317.92/x
  3. Step 3: Cross multiply
    202,045.38x = 300,682.50 × 195,317.92
  4. Step 4: Simplify right side
    202,045.38x = 58,728,680,673.14
  5. Step 5: Solve for x
    x = 58,728,680,673.14/202,045.38
  6. Step 6: Final answer
    x = 290,670.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.