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Finding the Fourth Proportional to 273,975.06, 410,963.36 and 84,429.31

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Solution

The fourth proportional to 273,975.06, 410,963.36 and 84,429.31 is: 126,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,975.06 : 410,963.36 = 84,429.31 : x
  2. Step 2: Convert to fraction form
    273,975.06/410,963.36 = 84,429.31/x
  3. Step 3: Cross multiply
    273,975.06x = 410,963.36 × 84,429.31
  4. Step 4: Simplify right side
    273,975.06x = 34,697,350,885.34
  5. Step 5: Solve for x
    x = 34,697,350,885.34/273,975.06
  6. Step 6: Final answer
    x = 126,644.20

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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.