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Finding the Fourth Proportional to 275,094.38, 412,760.35 and 148,823.57

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Solution

The fourth proportional to 275,094.38, 412,760.35 and 148,823.57 is: 223,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,094.38 : 412,760.35 = 148,823.57 : x
  2. Step 2: Convert to fraction form
    275,094.38/412,760.35 = 148,823.57/x
  3. Step 3: Cross multiply
    275,094.38x = 412,760.35 × 148,823.57
  4. Step 4: Simplify right side
    275,094.38x = 61,428,468,841.45
  5. Step 5: Solve for x
    x = 61,428,468,841.45/275,094.38
  6. Step 6: Final answer
    x = 223,299.61

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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.