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Finding the Fourth Proportional to 175,286.82, 242,304.43 and 156,354.23

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Solution

The fourth proportional to 175,286.82, 242,304.43 and 156,354.23 is: 216,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,286.82 : 242,304.43 = 156,354.23 : x
  2. Step 2: Convert to fraction form
    175,286.82/242,304.43 = 156,354.23/x
  3. Step 3: Cross multiply
    175,286.82x = 242,304.43 × 156,354.23
  4. Step 4: Simplify right side
    175,286.82x = 37,885,322,578.24
  5. Step 5: Solve for x
    x = 37,885,322,578.24/175,286.82
  6. Step 6: Final answer
    x = 216,133.32

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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.