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Finding the Fourth Proportional to 351,337.25, 527,020.46 and 102,019.25

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Solution

The fourth proportional to 351,337.25, 527,020.46 and 102,019.25 is: 153,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,337.25 : 527,020.46 = 102,019.25 : x
  2. Step 2: Convert to fraction form
    351,337.25/527,020.46 = 102,019.25/x
  3. Step 3: Cross multiply
    351,337.25x = 527,020.46 × 102,019.25
  4. Step 4: Simplify right side
    351,337.25x = 53,766,232,063.86
  5. Step 5: Solve for x
    x = 53,766,232,063.86/351,337.25
  6. Step 6: Final answer
    x = 153,033.11

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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.