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Finding the Fourth Proportional to 212,251.57, 292,905.60 and 116,756.20

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Solution

The fourth proportional to 212,251.57, 292,905.60 and 116,756.20 is: 161,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,251.57 : 292,905.60 = 116,756.20 : x
  2. Step 2: Convert to fraction form
    212,251.57/292,905.60 = 116,756.20/x
  3. Step 3: Cross multiply
    212,251.57x = 292,905.60 × 116,756.20
  4. Step 4: Simplify right side
    212,251.57x = 34,198,544,814.72
  5. Step 5: Solve for x
    x = 34,198,544,814.72/212,251.57
  6. Step 6: Final answer
    x = 161,122.69

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1.5x scale

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.