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Finding the Fourth Proportional to 212,704.28, 293,533.87 and 117,214.39

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Solution

The fourth proportional to 212,704.28, 293,533.87 and 117,214.39 is: 161,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,704.28 : 293,533.87 = 117,214.39 : x
  2. Step 2: Convert to fraction form
    212,704.28/293,533.87 = 117,214.39/x
  3. Step 3: Cross multiply
    212,704.28x = 293,533.87 × 117,214.39
  4. Step 4: Simplify right side
    212,704.28x = 34,406,393,516.39
  5. Step 5: Solve for x
    x = 34,406,393,516.39/212,704.28
  6. Step 6: Final answer
    x = 161,756.94

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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.