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Finding the Fourth Proportional to 258,102.34, 356,191.28 and 143,389.64

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Solution

The fourth proportional to 258,102.34, 356,191.28 and 143,389.64 is: 197,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,102.34 : 356,191.28 = 143,389.64 : x
  2. Step 2: Convert to fraction form
    258,102.34/356,191.28 = 143,389.64/x
  3. Step 3: Cross multiply
    258,102.34x = 356,191.28 × 143,389.64
  4. Step 4: Simplify right side
    258,102.34x = 51,074,139,410.34
  5. Step 5: Solve for x
    x = 51,074,139,410.34/258,102.34
  6. Step 6: Final answer
    x = 197,883.29

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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.