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Finding the Fourth Proportional to 273,464.02, 410,144.10 and 115,803.16

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Solution

The fourth proportional to 273,464.02, 410,144.10 and 115,803.16 is: 173,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,464.02 : 410,144.10 = 115,803.16 : x
  2. Step 2: Convert to fraction form
    273,464.02/410,144.10 = 115,803.16/x
  3. Step 3: Cross multiply
    273,464.02x = 410,144.10 × 115,803.16
  4. Step 4: Simplify right side
    273,464.02x = 47,495,982,835.36
  5. Step 5: Solve for x
    x = 47,495,982,835.36/273,464.02
  6. Step 6: Final answer
    x = 173,682.75

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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.