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Finding the Fourth Proportional to 208,794.13, 288,136.64 and 113,300.83

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Solution

The fourth proportional to 208,794.13, 288,136.64 and 113,300.83 is: 156,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,794.13 : 288,136.64 = 113,300.83 : x
  2. Step 2: Convert to fraction form
    208,794.13/288,136.64 = 113,300.83/x
  3. Step 3: Cross multiply
    208,794.13x = 288,136.64 × 113,300.83
  4. Step 4: Simplify right side
    208,794.13x = 32,646,119,488.07
  5. Step 5: Solve for x
    x = 32,646,119,488.07/208,794.13
  6. Step 6: Final answer
    x = 156,355.54

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1.5x scale

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.