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Finding the Fourth Proportional to 212,414.40, 293,131.94 and 116,920.40

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Solution

The fourth proportional to 212,414.40, 293,131.94 and 116,920.40 is: 161,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,414.40 : 293,131.94 = 116,920.40 : x
  2. Step 2: Convert to fraction form
    212,414.40/293,131.94 = 116,920.40/x
  3. Step 3: Cross multiply
    212,414.40x = 293,131.94 × 116,920.40
  4. Step 4: Simplify right side
    212,414.40x = 34,273,101,627.31
  5. Step 5: Solve for x
    x = 34,273,101,627.31/212,414.40
  6. Step 6: Final answer
    x = 161,350.18

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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.