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Finding the Fourth Proportional to 264,428.90, 364,909.79 and 143,567.74

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Solution

The fourth proportional to 264,428.90, 364,909.79 and 143,567.74 is: 198,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428.90 : 364,909.79 = 143,567.74 : x
  2. Step 2: Convert to fraction form
    264,428.90/364,909.79 = 143,567.74/x
  3. Step 3: Cross multiply
    264,428.90x = 364,909.79 × 143,567.74
  4. Step 4: Simplify right side
    264,428.90x = 52,389,273,854.17
  5. Step 5: Solve for x
    x = 52,389,273,854.17/264,428.90
  6. Step 6: Final answer
    x = 198,122.35

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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.