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Finding the Fourth Proportional to 188,951.52, 283,232.88 and 83,820

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Solution

The fourth proportional to 188,951.52, 283,232.88 and 83,820 is: 125,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,951.52 : 283,232.88 = 83,820 : x
  2. Step 2: Convert to fraction form
    188,951.52/283,232.88 = 83,820/x
  3. Step 3: Cross multiply
    188,951.52x = 283,232.88 × 83,820
  4. Step 4: Simplify right side
    188,951.52x = 23,740,580,001.60
  5. Step 5: Solve for x
    x = 23,740,580,001.60/188,951.52
  6. Step 6: Final answer
    x = 125,643.76

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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.