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Finding the Fourth Proportional to 273,106, 376,882.50 and 152,257.24

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Solution

The fourth proportional to 273,106, 376,882.50 and 152,257.24 is: 210,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,106 : 376,882.50 = 152,257.24 : x
  2. Step 2: Convert to fraction form
    273,106/376,882.50 = 152,257.24/x
  3. Step 3: Cross multiply
    273,106x = 376,882.50 × 152,257.24
  4. Step 4: Simplify right side
    273,106x = 57,383,089,254.30
  5. Step 5: Solve for x
    x = 57,383,089,254.30/273,106
  6. Step 6: Final answer
    x = 210,112.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.