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Finding the Fourth Proportional to 202,205.70, 303,308.55 and 61,946.10

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Solution

The fourth proportional to 202,205.70, 303,308.55 and 61,946.10 is: 92,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.70 : 303,308.55 = 61,946.10 : x
  2. Step 2: Convert to fraction form
    202,205.70/303,308.55 = 61,946.10/x
  3. Step 3: Cross multiply
    202,205.70x = 303,308.55 × 61,946.10
  4. Step 4: Simplify right side
    202,205.70x = 18,788,781,769.16
  5. Step 5: Solve for x
    x = 18,788,781,769.16/202,205.70
  6. Step 6: Final answer
    x = 92,919.15

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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.