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Finding the Fourth Proportional to 234,282.63, 351,423.92 and 56,789.64

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Solution

The fourth proportional to 234,282.63, 351,423.92 and 56,789.64 is: 85,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,282.63 : 351,423.92 = 56,789.64 : x
  2. Step 2: Convert to fraction form
    234,282.63/351,423.92 = 56,789.64/x
  3. Step 3: Cross multiply
    234,282.63x = 351,423.92 × 56,789.64
  4. Step 4: Simplify right side
    234,282.63x = 19,957,237,620.24
  5. Step 5: Solve for x
    x = 19,957,237,620.24/234,282.63
  6. Step 6: Final answer
    x = 85,184.45

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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.