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Finding the Fourth Proportional to 189,575.71, 284,284.18 and 77,179.51

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Solution

The fourth proportional to 189,575.71, 284,284.18 and 77,179.51 is: 115,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,575.71 : 284,284.18 = 77,179.51 : x
  2. Step 2: Convert to fraction form
    189,575.71/284,284.18 = 77,179.51/x
  3. Step 3: Cross multiply
    189,575.71x = 284,284.18 × 77,179.51
  4. Step 4: Simplify right side
    189,575.71x = 21,940,913,713.15
  5. Step 5: Solve for x
    x = 21,940,913,713.15/189,575.71
  6. Step 6: Final answer
    x = 115,736.95

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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.