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Finding the Fourth Proportional to 212,122.50, 318,167.10 and 123,319.32

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Solution

The fourth proportional to 212,122.50, 318,167.10 and 123,319.32 is: 184,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,122.50 : 318,167.10 = 123,319.32 : x
  2. Step 2: Convert to fraction form
    212,122.50/318,167.10 = 123,319.32/x
  3. Step 3: Cross multiply
    212,122.50x = 318,167.10 × 123,319.32
  4. Step 4: Simplify right side
    212,122.50x = 39,236,150,418.37
  5. Step 5: Solve for x
    x = 39,236,150,418.37/212,122.50
  6. Step 6: Final answer
    x = 184,969.30

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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.