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Finding the Fourth Proportional to 264,833.68, 397,027 and 114,960.88

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Solution

The fourth proportional to 264,833.68, 397,027 and 114,960.88 is: 172,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,833.68 : 397,027 = 114,960.88 : x
  2. Step 2: Convert to fraction form
    264,833.68/397,027 = 114,960.88/x
  3. Step 3: Cross multiply
    264,833.68x = 397,027 × 114,960.88
  4. Step 4: Simplify right side
    264,833.68x = 45,642,573,303.76
  5. Step 5: Solve for x
    x = 45,642,573,303.76/264,833.68
  6. Step 6: Final answer
    x = 172,344.29

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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.