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Finding the Fourth Proportional to 212,116.50, 318,158.10 and 123,313.32

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Solution

The fourth proportional to 212,116.50, 318,158.10 and 123,313.32 is: 184,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,116.50 : 318,158.10 = 123,313.32 : x
  2. Step 2: Convert to fraction form
    212,116.50/318,158.10 = 123,313.32/x
  3. Step 3: Cross multiply
    212,116.50x = 318,158.10 × 123,313.32
  4. Step 4: Simplify right side
    212,116.50x = 39,233,131,595.89
  5. Step 5: Solve for x
    x = 39,233,131,595.89/212,116.50
  6. Step 6: Final answer
    x = 184,960.30

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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.