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Finding the Fourth Proportional to 258,115.56, 356,283 and 167,311.32

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Solution

The fourth proportional to 258,115.56, 356,283 and 167,311.32 is: 230,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,115.56 : 356,283 = 167,311.32 : x
  2. Step 2: Convert to fraction form
    258,115.56/356,283 = 167,311.32/x
  3. Step 3: Cross multiply
    258,115.56x = 356,283 × 167,311.32
  4. Step 4: Simplify right side
    258,115.56x = 59,610,179,023.56
  5. Step 5: Solve for x
    x = 59,610,179,023.56/258,115.56
  6. Step 6: Final answer
    x = 230,943.76

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1.5x scale

Why These Related Problems?

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