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Finding the Fourth Proportional to 258,116.56, 356,284.38 and 167,312.32

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Solution

The fourth proportional to 258,116.56, 356,284.38 and 167,312.32 is: 230,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,116.56 : 356,284.38 = 167,312.32 : x
  2. Step 2: Convert to fraction form
    258,116.56/356,284.38 = 167,312.32/x
  3. Step 3: Cross multiply
    258,116.56x = 356,284.38 × 167,312.32
  4. Step 4: Simplify right side
    258,116.56x = 59,610,766,197.56
  5. Step 5: Solve for x
    x = 59,610,766,197.56/258,116.56
  6. Step 6: Final answer
    x = 230,945.14

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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.