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Finding the Fourth Proportional to 188,756, 283,177.80 and 64,097.12

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Solution

The fourth proportional to 188,756, 283,177.80 and 64,097.12 is: 96,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,756 : 283,177.80 = 64,097.12 : x
  2. Step 2: Convert to fraction form
    188,756/283,177.80 = 64,097.12/x
  3. Step 3: Cross multiply
    188,756x = 283,177.80 × 64,097.12
  4. Step 4: Simplify right side
    188,756x = 18,150,881,427.94
  5. Step 5: Solve for x
    x = 18,150,881,427.94/188,756
  6. Step 6: Final answer
    x = 96,160.55

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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.