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Finding the Fourth Proportional to 212,013.96, 318,019.32 and 54,242.16

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Solution

The fourth proportional to 212,013.96, 318,019.32 and 54,242.16 is: 81,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,013.96 : 318,019.32 = 54,242.16 : x
  2. Step 2: Convert to fraction form
    212,013.96/318,019.32 = 54,242.16/x
  3. Step 3: Cross multiply
    212,013.96x = 318,019.32 × 54,242.16
  4. Step 4: Simplify right side
    212,013.96x = 17,250,054,838.53
  5. Step 5: Solve for x
    x = 17,250,054,838.53/212,013.96
  6. Step 6: Final answer
    x = 81,362.83

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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.