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Finding the Fourth Proportional to 208,794.01, 288,136.49 and 113,300.70

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Solution

The fourth proportional to 208,794.01, 288,136.49 and 113,300.70 is: 156,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,794.01 : 288,136.49 = 113,300.70 : x
  2. Step 2: Convert to fraction form
    208,794.01/288,136.49 = 113,300.70/x
  3. Step 3: Cross multiply
    208,794.01x = 288,136.49 × 113,300.70
  4. Step 4: Simplify right side
    208,794.01x = 32,646,066,012.54
  5. Step 5: Solve for x
    x = 32,646,066,012.54/208,794.01
  6. Step 6: Final answer
    x = 156,355.38

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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.