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Finding the Fourth Proportional to 188,799.52, 283,199.24 and 77,994.40

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Solution

The fourth proportional to 188,799.52, 283,199.24 and 77,994.40 is: 116,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,799.52 : 283,199.24 = 77,994.40 : x
  2. Step 2: Convert to fraction form
    188,799.52/283,199.24 = 77,994.40/x
  3. Step 3: Cross multiply
    188,799.52x = 283,199.24 × 77,994.40
  4. Step 4: Simplify right side
    188,799.52x = 22,087,954,804.26
  5. Step 5: Solve for x
    x = 22,087,954,804.26/188,799.52
  6. Step 6: Final answer
    x = 116,991.58

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1.5x scale

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.