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Finding the Fourth Proportional to 295,143.97, 407,247.82 and 166,064.53

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Solution

The fourth proportional to 295,143.97, 407,247.82 and 166,064.53 is: 229,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.97 : 407,247.82 = 166,064.53 : x
  2. Step 2: Convert to fraction form
    295,143.97/407,247.82 = 166,064.53/x
  3. Step 3: Cross multiply
    295,143.97x = 407,247.82 × 166,064.53
  4. Step 4: Simplify right side
    295,143.97x = 67,629,417,821.82
  5. Step 5: Solve for x
    x = 67,629,417,821.82/295,143.97
  6. Step 6: Final answer
    x = 229,140.44

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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.