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Finding the Fourth Proportional to 208,141.65, 312,120.14 and 95,794.65

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Solution

The fourth proportional to 208,141.65, 312,120.14 and 95,794.65 is: 143,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.65 : 312,120.14 = 95,794.65 : x
  2. Step 2: Convert to fraction form
    208,141.65/312,120.14 = 95,794.65/x
  3. Step 3: Cross multiply
    208,141.65x = 312,120.14 × 95,794.65
  4. Step 4: Simplify right side
    208,141.65x = 29,899,439,090.28
  5. Step 5: Solve for x
    x = 29,899,439,090.28/208,141.65
  6. Step 6: Final answer
    x = 143,649.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.