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Finding the Fourth Proportional to 212,544, 293,310.72 and 117,050.49

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Solution

The fourth proportional to 212,544, 293,310.72 and 117,050.49 is: 161,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,544 : 293,310.72 = 117,050.49 : x
  2. Step 2: Convert to fraction form
    212,544/293,310.72 = 117,050.49/x
  3. Step 3: Cross multiply
    212,544x = 293,310.72 × 117,050.49
  4. Step 4: Simplify right side
    212,544x = 34,332,163,498.25
  5. Step 5: Solve for x
    x = 34,332,163,498.25/212,544
  6. Step 6: Final answer
    x = 161,529.68

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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.