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Finding the Fourth Proportional to 264,498.96, 365,007.44 and 143,639.40

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Solution

The fourth proportional to 264,498.96, 365,007.44 and 143,639.40 is: 198,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,498.96 : 365,007.44 = 143,639.40 : x
  2. Step 2: Convert to fraction form
    264,498.96/365,007.44 = 143,639.40/x
  3. Step 3: Cross multiply
    264,498.96x = 365,007.44 × 143,639.40
  4. Step 4: Simplify right side
    264,498.96x = 52,429,449,677.14
  5. Step 5: Solve for x
    x = 52,429,449,677.14/264,498.96
  6. Step 6: Final answer
    x = 198,221.76

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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.