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Finding the Fourth Proportional to 258,572.14, 356,832.27 and 142,287.15

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Solution

The fourth proportional to 258,572.14, 356,832.27 and 142,287.15 is: 196,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,572.14 : 356,832.27 = 142,287.15 : x
  2. Step 2: Convert to fraction form
    258,572.14/356,832.27 = 142,287.15/x
  3. Step 3: Cross multiply
    258,572.14x = 356,832.27 × 142,287.15
  4. Step 4: Simplify right side
    258,572.14x = 50,772,646,726.33
  5. Step 5: Solve for x
    x = 50,772,646,726.33/258,572.14
  6. Step 6: Final answer
    x = 196,357.76

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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.