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Finding the Fourth Proportional to 202,511.60, 303,767.40 and 165,113.90

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Solution

The fourth proportional to 202,511.60, 303,767.40 and 165,113.90 is: 247,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511.60 : 303,767.40 = 165,113.90 : x
  2. Step 2: Convert to fraction form
    202,511.60/303,767.40 = 165,113.90/x
  3. Step 3: Cross multiply
    202,511.60x = 303,767.40 × 165,113.90
  4. Step 4: Simplify right side
    202,511.60x = 50,156,220,106.86
  5. Step 5: Solve for x
    x = 50,156,220,106.86/202,511.60
  6. Step 6: Final answer
    x = 247,670.85

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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.