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Finding the Fourth Proportional to 295,542.91, 407,849.67 and 168,218.50

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Solution

The fourth proportional to 295,542.91, 407,849.67 and 168,218.50 is: 232,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,542.91 : 407,849.67 = 168,218.50 : x
  2. Step 2: Convert to fraction form
    295,542.91/407,849.67 = 168,218.50/x
  3. Step 3: Cross multiply
    295,542.91x = 407,849.67 × 168,218.50
  4. Step 4: Simplify right side
    295,542.91x = 68,607,859,712.90
  5. Step 5: Solve for x
    x = 68,607,859,712.90/295,542.91
  6. Step 6: Final answer
    x = 232,141.79

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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.