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Finding the Fourth Proportional to 218,960.34, 302,165.82 and 123,468.66

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Solution

The fourth proportional to 218,960.34, 302,165.82 and 123,468.66 is: 170,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960.34 : 302,165.82 = 123,468.66 : x
  2. Step 2: Convert to fraction form
    218,960.34/302,165.82 = 123,468.66/x
  3. Step 3: Cross multiply
    218,960.34x = 302,165.82 × 123,468.66
  4. Step 4: Simplify right side
    218,960.34x = 37,308,008,893.20
  5. Step 5: Solve for x
    x = 37,308,008,893.20/218,960.34
  6. Step 6: Final answer
    x = 170,387.06

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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.