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Finding the Fourth Proportional to 200,729.67, 301,156.95 and 65,794.92

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Solution

The fourth proportional to 200,729.67, 301,156.95 and 65,794.92 is: 98,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.67 : 301,156.95 = 65,794.92 : x
  2. Step 2: Convert to fraction form
    200,729.67/301,156.95 = 65,794.92/x
  3. Step 3: Cross multiply
    200,729.67x = 301,156.95 × 65,794.92
  4. Step 4: Simplify right side
    200,729.67x = 19,814,598,244.09
  5. Step 5: Solve for x
    x = 19,814,598,244.09/200,729.67
  6. Step 6: Final answer
    x = 98,712.85

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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.