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Finding the Fourth Proportional to 264,682.64, 397,078.76 and 87,200.56

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Solution

The fourth proportional to 264,682.64, 397,078.76 and 87,200.56 is: 130,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,682.64 : 397,078.76 = 87,200.56 : x
  2. Step 2: Convert to fraction form
    264,682.64/397,078.76 = 87,200.56/x
  3. Step 3: Cross multiply
    264,682.64x = 397,078.76 × 87,200.56
  4. Step 4: Simplify right side
    264,682.64x = 34,625,490,236.11
  5. Step 5: Solve for x
    x = 34,625,490,236.11/264,682.64
  6. Step 6: Final answer
    x = 130,818.89

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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.