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Finding the Fourth Proportional to 202,196.26, 278,981.01 and 123,594.38

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Solution

The fourth proportional to 202,196.26, 278,981.01 and 123,594.38 is: 170,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.26 : 278,981.01 = 123,594.38 : x
  2. Step 2: Convert to fraction form
    202,196.26/278,981.01 = 123,594.38/x
  3. Step 3: Cross multiply
    202,196.26x = 278,981.01 × 123,594.38
  4. Step 4: Simplify right side
    202,196.26x = 34,480,484,614.00
  5. Step 5: Solve for x
    x = 34,480,484,614.00/202,196.26
  6. Step 6: Final answer
    x = 170,529.78

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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.