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Finding the Fourth Proportional to 188,776.68, 283,165.77 and 76,459.04

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Solution

The fourth proportional to 188,776.68, 283,165.77 and 76,459.04 is: 114,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,776.68 : 283,165.77 = 76,459.04 : x
  2. Step 2: Convert to fraction form
    188,776.68/283,165.77 = 76,459.04/x
  3. Step 3: Cross multiply
    188,776.68x = 283,165.77 × 76,459.04
  4. Step 4: Simplify right side
    188,776.68x = 21,650,582,867.83
  5. Step 5: Solve for x
    x = 21,650,582,867.83/188,776.68
  6. Step 6: Final answer
    x = 114,688.87

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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.