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Finding the Fourth Proportional to 188,805.12, 283,162.32 and 55,649.40

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Solution

The fourth proportional to 188,805.12, 283,162.32 and 55,649.40 is: 83,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,805.12 : 283,162.32 = 55,649.40 : x
  2. Step 2: Convert to fraction form
    188,805.12/283,162.32 = 55,649.40/x
  3. Step 3: Cross multiply
    188,805.12x = 283,162.32 × 55,649.40
  4. Step 4: Simplify right side
    188,805.12x = 15,757,813,210.61
  5. Step 5: Solve for x
    x = 15,757,813,210.61/188,805.12
  6. Step 6: Final answer
    x = 83,460.73

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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.