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Finding the Fourth Proportional to 302,003.14, 416,764.60 and 166,039.40

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Solution

The fourth proportional to 302,003.14, 416,764.60 and 166,039.40 is: 229,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,003.14 : 416,764.60 = 166,039.40 : x
  2. Step 2: Convert to fraction form
    302,003.14/416,764.60 = 166,039.40/x
  3. Step 3: Cross multiply
    302,003.14x = 416,764.60 × 166,039.40
  4. Step 4: Simplify right side
    302,003.14x = 69,199,344,125.24
  5. Step 5: Solve for x
    x = 69,199,344,125.24/302,003.14
  6. Step 6: Final answer
    x = 229,134.52

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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.