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Finding the Fourth Proportional to 213,274.44, 319,792.59 and 134,219.25

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Solution

The fourth proportional to 213,274.44, 319,792.59 and 134,219.25 is: 201,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.44 : 319,792.59 = 134,219.25 : x
  2. Step 2: Convert to fraction form
    213,274.44/319,792.59 = 134,219.25/x
  3. Step 3: Cross multiply
    213,274.44x = 319,792.59 × 134,219.25
  4. Step 4: Simplify right side
    213,274.44x = 42,922,321,585.36
  5. Step 5: Solve for x
    x = 42,922,321,585.36/213,274.44
  6. Step 6: Final answer
    x = 201,253.94

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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.