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Finding the Fourth Proportional to 212,242.35, 318,322.88 and 82,411.14

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Solution

The fourth proportional to 212,242.35, 318,322.88 and 82,411.14 is: 123,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,242.35 : 318,322.88 = 82,411.14 : x
  2. Step 2: Convert to fraction form
    212,242.35/318,322.88 = 82,411.14/x
  3. Step 3: Cross multiply
    212,242.35x = 318,322.88 × 82,411.14
  4. Step 4: Simplify right side
    212,242.35x = 26,233,351,016.83
  5. Step 5: Solve for x
    x = 26,233,351,016.83/212,242.35
  6. Step 6: Final answer
    x = 123,600.93

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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.