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Finding the Fourth Proportional to 172,165.38, 258,262.92 and 47,506.38

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Solution

The fourth proportional to 172,165.38, 258,262.92 and 47,506.38 is: 71,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,165.38 : 258,262.92 = 47,506.38 : x
  2. Step 2: Convert to fraction form
    172,165.38/258,262.92 = 47,506.38/x
  3. Step 3: Cross multiply
    172,165.38x = 258,262.92 × 47,506.38
  4. Step 4: Simplify right side
    172,165.38x = 12,269,136,417.43
  5. Step 5: Solve for x
    x = 12,269,136,417.43/172,165.38
  6. Step 6: Final answer
    x = 71,263.67

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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.