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Finding the Fourth Proportional to 109,892.25, 151,651.31 and 59,591.25

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Solution

The fourth proportional to 109,892.25, 151,651.31 and 59,591.25 is: 82,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.25 : 151,651.31 = 59,591.25 : x
  2. Step 2: Convert to fraction form
    109,892.25/151,651.31 = 59,591.25/x
  3. Step 3: Cross multiply
    109,892.25x = 151,651.31 × 59,591.25
  4. Step 4: Simplify right side
    109,892.25x = 9,037,090,829.08
  5. Step 5: Solve for x
    x = 9,037,090,829.08/109,892.25
  6. Step 6: Final answer
    x = 82,235.93

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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.