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Finding the Fourth Proportional to 295,208.52, 407,387.52 and 161,072.52

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Solution

The fourth proportional to 295,208.52, 407,387.52 and 161,072.52 is: 222,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,208.52 : 407,387.52 = 161,072.52 : x
  2. Step 2: Convert to fraction form
    295,208.52/407,387.52 = 161,072.52/x
  3. Step 3: Cross multiply
    295,208.52x = 407,387.52 × 161,072.52
  4. Step 4: Simplify right side
    295,208.52x = 65,618,934,462.95
  5. Step 5: Solve for x
    x = 65,618,934,462.95/295,208.52
  6. Step 6: Final answer
    x = 222,279.95

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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.