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Finding the Fourth Proportional to 202,823.10, 304,234.65 and 53,063.10

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Solution

The fourth proportional to 202,823.10, 304,234.65 and 53,063.10 is: 79,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,823.10 : 304,234.65 = 53,063.10 : x
  2. Step 2: Convert to fraction form
    202,823.10/304,234.65 = 53,063.10/x
  3. Step 3: Cross multiply
    202,823.10x = 304,234.65 × 53,063.10
  4. Step 4: Simplify right side
    202,823.10x = 16,143,633,656.42
  5. Step 5: Solve for x
    x = 16,143,633,656.42/202,823.10
  6. Step 6: Final answer
    x = 79,594.65

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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.