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Finding the Fourth Proportional to 302,014.68, 416,781.10 and 166,062.52

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Solution

The fourth proportional to 302,014.68, 416,781.10 and 166,062.52 is: 229,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,014.68 : 416,781.10 = 166,062.52 : x
  2. Step 2: Convert to fraction form
    302,014.68/416,781.10 = 166,062.52/x
  3. Step 3: Cross multiply
    302,014.68x = 416,781.10 × 166,062.52
  4. Step 4: Simplify right side
    302,014.68x = 69,211,719,754.37
  5. Step 5: Solve for x
    x = 69,211,719,754.37/302,014.68
  6. Step 6: Final answer
    x = 229,166.74

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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.