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Finding the Fourth Proportional to 234,850.32, 352,341.50 and 77,189.49

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Solution

The fourth proportional to 234,850.32, 352,341.50 and 77,189.49 is: 115,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,850.32 : 352,341.50 = 77,189.49 : x
  2. Step 2: Convert to fraction form
    234,850.32/352,341.50 = 77,189.49/x
  3. Step 3: Cross multiply
    234,850.32x = 352,341.50 × 77,189.49
  4. Step 4: Simplify right side
    234,850.32x = 27,197,060,304.89
  5. Step 5: Solve for x
    x = 27,197,060,304.89/234,850.32
  6. Step 6: Final answer
    x = 115,805.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.