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Finding the Fourth Proportional to 302,170.52, 416,966.37 and 166,202.30

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Solution

The fourth proportional to 302,170.52, 416,966.37 and 166,202.30 is: 229,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,170.52 : 416,966.37 = 166,202.30 : x
  2. Step 2: Convert to fraction form
    302,170.52/416,966.37 = 166,202.30/x
  3. Step 3: Cross multiply
    302,170.52x = 416,966.37 × 166,202.30
  4. Step 4: Simplify right side
    302,170.52x = 69,300,767,631.82
  5. Step 5: Solve for x
    x = 69,300,767,631.82/302,170.52
  6. Step 6: Final answer
    x = 229,343.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.