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Finding the Fourth Proportional to 273,522.06, 410,315.85 and 83,957.60

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Solution

The fourth proportional to 273,522.06, 410,315.85 and 83,957.60 is: 125,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,522.06 : 410,315.85 = 83,957.60 : x
  2. Step 2: Convert to fraction form
    273,522.06/410,315.85 = 83,957.60/x
  3. Step 3: Cross multiply
    273,522.06x = 410,315.85 × 83,957.60
  4. Step 4: Simplify right side
    273,522.06x = 34,449,134,007.96
  5. Step 5: Solve for x
    x = 34,449,134,007.96/273,522.06
  6. Step 6: Final answer
    x = 125,946.46

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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.