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Finding the Fourth Proportional to 212,693.70, 293,530.38 and 117,200.38

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Solution

The fourth proportional to 212,693.70, 293,530.38 and 117,200.38 is: 161,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,693.70 : 293,530.38 = 117,200.38 : x
  2. Step 2: Convert to fraction form
    212,693.70/293,530.38 = 117,200.38/x
  3. Step 3: Cross multiply
    212,693.70x = 293,530.38 × 117,200.38
  4. Step 4: Simplify right side
    212,693.70x = 34,401,872,077.54
  5. Step 5: Solve for x
    x = 34,401,872,077.54/212,693.70
  6. Step 6: Final answer
    x = 161,743.73

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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.