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Finding the Fourth Proportional to 295,151.34, 407,277.42 and 166,087.56

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Solution

The fourth proportional to 295,151.34, 407,277.42 and 166,087.56 is: 229,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,151.34 : 407,277.42 = 166,087.56 : x
  2. Step 2: Convert to fraction form
    295,151.34/407,277.42 = 166,087.56/x
  3. Step 3: Cross multiply
    295,151.34x = 407,277.42 × 166,087.56
  4. Step 4: Simplify right side
    295,151.34x = 67,643,712,930.90
  5. Step 5: Solve for x
    x = 67,643,712,930.90/295,151.34
  6. Step 6: Final answer
    x = 229,183.15

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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.