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Finding the Fourth Proportional to 264,794.96, 365,417.29 and 143,936.24

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Solution

The fourth proportional to 264,794.96, 365,417.29 and 143,936.24 is: 198,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,794.96 : 365,417.29 = 143,936.24 : x
  2. Step 2: Convert to fraction form
    264,794.96/365,417.29 = 143,936.24/x
  3. Step 3: Cross multiply
    264,794.96x = 365,417.29 × 143,936.24
  4. Step 4: Simplify right side
    264,794.96x = 52,596,790,753.59
  5. Step 5: Solve for x
    x = 52,596,790,753.59/264,794.96
  6. Step 6: Final answer
    x = 198,632.14

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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.