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Finding the Fourth Proportional to 212,892.16, 318,976.75 and 128,474.94

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Solution

The fourth proportional to 212,892.16, 318,976.75 and 128,474.94 is: 192,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,892.16 : 318,976.75 = 128,474.94 : x
  2. Step 2: Convert to fraction form
    212,892.16/318,976.75 = 128,474.94/x
  3. Step 3: Cross multiply
    212,892.16x = 318,976.75 × 128,474.94
  4. Step 4: Simplify right side
    212,892.16x = 40,980,519,277.28
  5. Step 5: Solve for x
    x = 40,980,519,277.28/212,892.16
  6. Step 6: Final answer
    x = 192,494.26

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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.