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Finding the Fourth Proportional to 212,813.70, 293,696.13 and 117,320.22

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Solution

The fourth proportional to 212,813.70, 293,696.13 and 117,320.22 is: 161,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813.70 : 293,696.13 = 117,320.22 : x
  2. Step 2: Convert to fraction form
    212,813.70/293,696.13 = 117,320.22/x
  3. Step 3: Cross multiply
    212,813.70x = 293,696.13 × 117,320.22
  4. Step 4: Simplify right side
    212,813.70x = 34,456,494,584.75
  5. Step 5: Solve for x
    x = 34,456,494,584.75/212,813.70
  6. Step 6: Final answer
    x = 161,909.19

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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.