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Finding the Fourth Proportional to 264,294.69, 364,726.86 and 143,435.95

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Solution

The fourth proportional to 264,294.69, 364,726.86 and 143,435.95 is: 197,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294.69 : 364,726.86 = 143,435.95 : x
  2. Step 2: Convert to fraction form
    264,294.69/364,726.86 = 143,435.95/x
  3. Step 3: Cross multiply
    264,294.69x = 364,726.86 × 143,435.95
  4. Step 4: Simplify right side
    264,294.69x = 52,314,943,654.62
  5. Step 5: Solve for x
    x = 52,314,943,654.62/264,294.69
  6. Step 6: Final answer
    x = 197,941.71

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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.