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Finding the Fourth Proportional to 258,156.12, 387,253.68 and 71,166

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Solution

The fourth proportional to 258,156.12, 387,253.68 and 71,166 is: 106,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,156.12 : 387,253.68 = 71,166 : x
  2. Step 2: Convert to fraction form
    258,156.12/387,253.68 = 71,166/x
  3. Step 3: Cross multiply
    258,156.12x = 387,253.68 × 71,166
  4. Step 4: Simplify right side
    258,156.12x = 27,559,295,390.88
  5. Step 5: Solve for x
    x = 27,559,295,390.88/258,156.12
  6. Step 6: Final answer
    x = 106,754.38

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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.