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Finding the Fourth Proportional to 264,423.11, 364,901.81 and 143,561.97

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Solution

The fourth proportional to 264,423.11, 364,901.81 and 143,561.97 is: 198,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,423.11 : 364,901.81 = 143,561.97 : x
  2. Step 2: Convert to fraction form
    264,423.11/364,901.81 = 143,561.97/x
  3. Step 3: Cross multiply
    264,423.11x = 364,901.81 × 143,561.97
  4. Step 4: Simplify right side
    264,423.11x = 52,386,021,982.36
  5. Step 5: Solve for x
    x = 52,386,021,982.36/264,423.11
  6. Step 6: Final answer
    x = 198,114.39

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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.