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Finding the Fourth Proportional to 212,524.40, 318,095.40 and 165,522.80

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Solution

The fourth proportional to 212,524.40, 318,095.40 and 165,522.80 is: 247,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,524.40 : 318,095.40 = 165,522.80 : x
  2. Step 2: Convert to fraction form
    212,524.40/318,095.40 = 165,522.80/x
  3. Step 3: Cross multiply
    212,524.40x = 318,095.40 × 165,522.80
  4. Step 4: Simplify right side
    212,524.40x = 52,652,041,275.12
  5. Step 5: Solve for x
    x = 52,652,041,275.12/212,524.40
  6. Step 6: Final answer
    x = 247,745.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.