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Finding the Fourth Proportional to 295,135.25, 442,796.29 and 105,591.47

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Solution

The fourth proportional to 295,135.25, 442,796.29 and 105,591.47 is: 158,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,135.25 : 442,796.29 = 105,591.47 : x
  2. Step 2: Convert to fraction form
    295,135.25/442,796.29 = 105,591.47/x
  3. Step 3: Cross multiply
    295,135.25x = 442,796.29 × 105,591.47
  4. Step 4: Simplify right side
    295,135.25x = 46,755,508,693.69
  5. Step 5: Solve for x
    x = 46,755,508,693.69/295,135.25
  6. Step 6: Final answer
    x = 158,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.