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Finding the Fourth Proportional to 202,385.10, 303,772.05 and 102,657.90

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Solution

The fourth proportional to 202,385.10, 303,772.05 and 102,657.90 is: 154,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385.10 : 303,772.05 = 102,657.90 : x
  2. Step 2: Convert to fraction form
    202,385.10/303,772.05 = 102,657.90/x
  3. Step 3: Cross multiply
    202,385.10x = 303,772.05 × 102,657.90
  4. Step 4: Simplify right side
    202,385.10x = 31,184,600,731.70
  5. Step 5: Solve for x
    x = 31,184,600,731.70/202,385.10
  6. Step 6: Final answer
    x = 154,085.46

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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.