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Finding the Fourth Proportional to 202,196.70, 303,416.55 and 83,855.70

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Solution

The fourth proportional to 202,196.70, 303,416.55 and 83,855.70 is: 125,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.70 : 303,416.55 = 83,855.70 : x
  2. Step 2: Convert to fraction form
    202,196.70/303,416.55 = 83,855.70/x
  3. Step 3: Cross multiply
    202,196.70x = 303,416.55 × 83,855.70
  4. Step 4: Simplify right side
    202,196.70x = 25,443,207,191.84
  5. Step 5: Solve for x
    x = 25,443,207,191.84/202,196.70
  6. Step 6: Final answer
    x = 125,833.94

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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.