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Finding the Fourth Proportional to 275,702.13, 413,581.68 and 76,022.55

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Solution

The fourth proportional to 275,702.13, 413,581.68 and 76,022.55 is: 114,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,702.13 : 413,581.68 = 76,022.55 : x
  2. Step 2: Convert to fraction form
    275,702.13/413,581.68 = 76,022.55/x
  3. Step 3: Cross multiply
    275,702.13x = 413,581.68 × 76,022.55
  4. Step 4: Simplify right side
    275,702.13x = 31,441,533,946.88
  5. Step 5: Solve for x
    x = 31,441,533,946.88/275,702.13
  6. Step 6: Final answer
    x = 114,041.68

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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.