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Finding the Fourth Proportional to 189,194.61, 283,867.53 and 76,883.61

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Solution

The fourth proportional to 189,194.61, 283,867.53 and 76,883.61 is: 115,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194.61 : 283,867.53 = 76,883.61 : x
  2. Step 2: Convert to fraction form
    189,194.61/283,867.53 = 76,883.61/x
  3. Step 3: Cross multiply
    189,194.61x = 283,867.53 × 76,883.61
  4. Step 4: Simplify right side
    189,194.61x = 21,824,760,468.18
  5. Step 5: Solve for x
    x = 21,824,760,468.18/189,194.61
  6. Step 6: Final answer
    x = 115,356.14

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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.