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Finding the Fourth Proportional to 356,469.80, 534,656.10 and 107,151.80

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Solution

The fourth proportional to 356,469.80, 534,656.10 and 107,151.80 is: 160,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,469.80 : 534,656.10 = 107,151.80 : x
  2. Step 2: Convert to fraction form
    356,469.80/534,656.10 = 107,151.80/x
  3. Step 3: Cross multiply
    356,469.80x = 534,656.10 × 107,151.80
  4. Step 4: Simplify right side
    356,469.80x = 57,289,363,495.98
  5. Step 5: Solve for x
    x = 57,289,363,495.98/356,469.80
  6. Step 6: Final answer
    x = 160,713.09

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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.