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Finding the Fourth Proportional to 212,568, 293,357.15 and 117,074.67

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Solution

The fourth proportional to 212,568, 293,357.15 and 117,074.67 is: 161,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,568 : 293,357.15 = 117,074.67 : x
  2. Step 2: Convert to fraction form
    212,568/293,357.15 = 117,074.67/x
  3. Step 3: Cross multiply
    212,568x = 293,357.15 × 117,074.67
  4. Step 4: Simplify right side
    212,568x = 34,344,691,528.39
  5. Step 5: Solve for x
    x = 34,344,691,528.39/212,568
  6. Step 6: Final answer
    x = 161,570.38

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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.