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Finding the Fourth Proportional to 202,488.10, 303,732.15 and 146,500.90

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Solution

The fourth proportional to 202,488.10, 303,732.15 and 146,500.90 is: 219,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,488.10 : 303,732.15 = 146,500.90 : x
  2. Step 2: Convert to fraction form
    202,488.10/303,732.15 = 146,500.90/x
  3. Step 3: Cross multiply
    202,488.10x = 303,732.15 × 146,500.90
  4. Step 4: Simplify right side
    202,488.10x = 44,497,033,333.94
  5. Step 5: Solve for x
    x = 44,497,033,333.94/202,488.10
  6. Step 6: Final answer
    x = 219,751.35

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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.