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Finding the Fourth Proportional to 118,122.32, 177,130.12 and 33,863.20

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Solution

The fourth proportional to 118,122.32, 177,130.12 and 33,863.20 is: 50,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,122.32 : 177,130.12 = 33,863.20 : x
  2. Step 2: Convert to fraction form
    118,122.32/177,130.12 = 33,863.20/x
  3. Step 3: Cross multiply
    118,122.32x = 177,130.12 × 33,863.20
  4. Step 4: Simplify right side
    118,122.32x = 5,998,192,679.58
  5. Step 5: Solve for x
    x = 5,998,192,679.58/118,122.32
  6. Step 6: Final answer
    x = 50,779.50

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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.