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Finding the Fourth Proportional to 188,868.56, 283,302.84 and 64,209.56

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Solution

The fourth proportional to 188,868.56, 283,302.84 and 64,209.56 is: 96,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,868.56 : 283,302.84 = 64,209.56 : x
  2. Step 2: Convert to fraction form
    188,868.56/283,302.84 = 64,209.56/x
  3. Step 3: Cross multiply
    188,868.56x = 283,302.84 × 64,209.56
  4. Step 4: Simplify right side
    188,868.56x = 18,190,750,703.15
  5. Step 5: Solve for x
    x = 18,190,750,703.15/188,868.56
  6. Step 6: Final answer
    x = 96,314.34

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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.