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Finding the Fourth Proportional to 212,550.93, 293,269.91 and 120,649.77

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Solution

The fourth proportional to 212,550.93, 293,269.91 and 120,649.77 is: 166,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,550.93 : 293,269.91 = 120,649.77 : x
  2. Step 2: Convert to fraction form
    212,550.93/293,269.91 = 120,649.77/x
  3. Step 3: Cross multiply
    212,550.93x = 293,269.91 × 120,649.77
  4. Step 4: Simplify right side
    212,550.93x = 35,382,946,154.62
  5. Step 5: Solve for x
    x = 35,382,946,154.62/212,550.93
  6. Step 6: Final answer
    x = 166,468.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.