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Finding the Fourth Proportional to 202,136.66, 278,946.38 and 111,496.45

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Solution

The fourth proportional to 202,136.66, 278,946.38 and 111,496.45 is: 153,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.66 : 278,946.38 = 111,496.45 : x
  2. Step 2: Convert to fraction form
    202,136.66/278,946.38 = 111,496.45/x
  3. Step 3: Cross multiply
    202,136.66x = 278,946.38 × 111,496.45
  4. Step 4: Simplify right side
    202,136.66x = 31,101,531,214.75
  5. Step 5: Solve for x
    x = 31,101,531,214.75/202,136.66
  6. Step 6: Final answer
    x = 153,863.88

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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.