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Finding the Fourth Proportional to 189,259.62, 283,965.17 and 76,948.47

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Solution

The fourth proportional to 189,259.62, 283,965.17 and 76,948.47 is: 115,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,259.62 : 283,965.17 = 76,948.47 : x
  2. Step 2: Convert to fraction form
    189,259.62/283,965.17 = 76,948.47/x
  3. Step 3: Cross multiply
    189,259.62x = 283,965.17 × 76,948.47
  4. Step 4: Simplify right side
    189,259.62x = 21,850,684,980.05
  5. Step 5: Solve for x
    x = 21,850,684,980.05/189,259.62
  6. Step 6: Final answer
    x = 115,453.50

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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.