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Finding the Fourth Proportional to 276,832.10, 415,303.64 and 99,353.00

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Solution

The fourth proportional to 276,832.10, 415,303.64 and 99,353.00 is: 149,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,832.10 : 415,303.64 = 99,353.00 : x
  2. Step 2: Convert to fraction form
    276,832.10/415,303.64 = 99,353.00/x
  3. Step 3: Cross multiply
    276,832.10x = 415,303.64 × 99,353.00
  4. Step 4: Simplify right side
    276,832.10x = 41,261,659,971.64
  5. Step 5: Solve for x
    x = 41,261,659,971.64/276,832.10
  6. Step 6: Final answer
    x = 149,049.41

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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.