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Finding the Fourth Proportional to 264,124.91, 364,490.22 and 143,265.89

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Solution

The fourth proportional to 264,124.91, 364,490.22 and 143,265.89 is: 197,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,124.91 : 364,490.22 = 143,265.89 : x
  2. Step 2: Convert to fraction form
    264,124.91/364,490.22 = 143,265.89/x
  3. Step 3: Cross multiply
    264,124.91x = 364,490.22 × 143,265.89
  4. Step 4: Simplify right side
    264,124.91x = 52,219,015,764.60
  5. Step 5: Solve for x
    x = 52,219,015,764.60/264,124.91
  6. Step 6: Final answer
    x = 197,705.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.