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Finding the Fourth Proportional to 275,897.19, 413,853.59 and 76,217.61

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Solution

The fourth proportional to 275,897.19, 413,853.59 and 76,217.61 is: 114,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,897.19 : 413,853.59 = 76,217.61 : x
  2. Step 2: Convert to fraction form
    275,897.19/413,853.59 = 76,217.61/x
  3. Step 3: Cross multiply
    275,897.19x = 413,853.59 × 76,217.61
  4. Step 4: Simplify right side
    275,897.19x = 31,542,931,138.63
  5. Step 5: Solve for x
    x = 31,542,931,138.63/275,897.19
  6. Step 6: Final answer
    x = 114,328.57

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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.