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Finding the Fourth Proportional to 132,893.20, 199,339.80 and 83,741.20

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Solution

The fourth proportional to 132,893.20, 199,339.80 and 83,741.20 is: 125,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,893.20 : 199,339.80 = 83,741.20 : x
  2. Step 2: Convert to fraction form
    132,893.20/199,339.80 = 83,741.20/x
  3. Step 3: Cross multiply
    132,893.20x = 199,339.80 × 83,741.20
  4. Step 4: Simplify right side
    132,893.20x = 16,692,954,059.76
  5. Step 5: Solve for x
    x = 16,692,954,059.76/132,893.20
  6. Step 6: Final answer
    x = 125,611.80

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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.