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Finding the Fourth Proportional to 199,468.16, 275,232.12 and 118,894.16

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Solution

The fourth proportional to 199,468.16, 275,232.12 and 118,894.16 is: 164,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,468.16 : 275,232.12 = 118,894.16 : x
  2. Step 2: Convert to fraction form
    199,468.16/275,232.12 = 118,894.16/x
  3. Step 3: Cross multiply
    199,468.16x = 275,232.12 × 118,894.16
  4. Step 4: Simplify right side
    199,468.16x = 32,723,491,712.42
  5. Step 5: Solve for x
    x = 32,723,491,712.42/199,468.16
  6. Step 6: Final answer
    x = 164,053.71

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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.