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Finding the Fourth Proportional to 273,247.32, 409,898.27 and 83,705.50

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Solution

The fourth proportional to 273,247.32, 409,898.27 and 83,705.50 is: 125,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,247.32 : 409,898.27 = 83,705.50 : x
  2. Step 2: Convert to fraction form
    273,247.32/409,898.27 = 83,705.50/x
  3. Step 3: Cross multiply
    273,247.32x = 409,898.27 × 83,705.50
  4. Step 4: Simplify right side
    273,247.32x = 34,310,740,361.12
  5. Step 5: Solve for x
    x = 34,310,740,361.12/273,247.32
  6. Step 6: Final answer
    x = 125,566.61

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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.