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Finding the Fourth Proportional to 264,428.80, 364,909.60 and 143,567.70

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Solution

The fourth proportional to 264,428.80, 364,909.60 and 143,567.70 is: 198,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428.80 : 364,909.60 = 143,567.70 : x
  2. Step 2: Convert to fraction form
    264,428.80/364,909.60 = 143,567.70/x
  3. Step 3: Cross multiply
    264,428.80x = 364,909.60 × 143,567.70
  4. Step 4: Simplify right side
    264,428.80x = 52,389,231,979.92
  5. Step 5: Solve for x
    x = 52,389,231,979.92/264,428.80
  6. Step 6: Final answer
    x = 198,122.26

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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.