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Finding the Fourth Proportional to 200,766.70, 301,150.05 and 197,656.30

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Solution

The fourth proportional to 200,766.70, 301,150.05 and 197,656.30 is: 296,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766.70 : 301,150.05 = 197,656.30 : x
  2. Step 2: Convert to fraction form
    200,766.70/301,150.05 = 197,656.30/x
  3. Step 3: Cross multiply
    200,766.70x = 301,150.05 × 197,656.30
  4. Step 4: Simplify right side
    200,766.70x = 59,524,204,627.82
  5. Step 5: Solve for x
    x = 59,524,204,627.82/200,766.70
  6. Step 6: Final answer
    x = 296,484.45

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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.