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Finding the Fourth Proportional to 202,838.08, 302,793.68 and 171,380.80

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Solution

The fourth proportional to 202,838.08, 302,793.68 and 171,380.80 is: 255,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.08 : 302,793.68 = 171,380.80 : x
  2. Step 2: Convert to fraction form
    202,838.08/302,793.68 = 171,380.80/x
  3. Step 3: Cross multiply
    202,838.08x = 302,793.68 × 171,380.80
  4. Step 4: Simplify right side
    202,838.08x = 51,893,023,113.34
  5. Step 5: Solve for x
    x = 51,893,023,113.34/202,838.08
  6. Step 6: Final answer
    x = 255,834.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.