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Finding the Fourth Proportional to 202,039.70, 303,059.55 and 164,714.90

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Solution

The fourth proportional to 202,039.70, 303,059.55 and 164,714.90 is: 247,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,039.70 : 303,059.55 = 164,714.90 : x
  2. Step 2: Convert to fraction form
    202,039.70/303,059.55 = 164,714.90/x
  3. Step 3: Cross multiply
    202,039.70x = 303,059.55 × 164,714.90
  4. Step 4: Simplify right side
    202,039.70x = 49,918,423,472.30
  5. Step 5: Solve for x
    x = 49,918,423,472.30/202,039.70
  6. Step 6: Final answer
    x = 247,072.35

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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.