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Finding the Fourth Proportional to 212,980.28, 319,470.44 and 199,989.50

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Solution

The fourth proportional to 212,980.28, 319,470.44 and 199,989.50 is: 299,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,980.28 : 319,470.44 = 199,989.50 : x
  2. Step 2: Convert to fraction form
    212,980.28/319,470.44 = 199,989.50/x
  3. Step 3: Cross multiply
    212,980.28x = 319,470.44 × 199,989.50
  4. Step 4: Simplify right side
    212,980.28x = 63,890,730,963.08
  5. Step 5: Solve for x
    x = 63,890,730,963.08/212,980.28
  6. Step 6: Final answer
    x = 299,984.26

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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.