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Finding the Fourth Proportional to 136,197.96, 204,296.94 and 42,711

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Solution

The fourth proportional to 136,197.96, 204,296.94 and 42,711 is: 64,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,197.96 : 204,296.94 = 42,711 : x
  2. Step 2: Convert to fraction form
    136,197.96/204,296.94 = 42,711/x
  3. Step 3: Cross multiply
    136,197.96x = 204,296.94 × 42,711
  4. Step 4: Simplify right side
    136,197.96x = 8,725,726,604.34
  5. Step 5: Solve for x
    x = 8,725,726,604.34/136,197.96
  6. Step 6: Final answer
    x = 64,066.50

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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.