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Finding the Fourth Proportional to 212,396.97, 293,107.90 and 116,902.98

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Solution

The fourth proportional to 212,396.97, 293,107.90 and 116,902.98 is: 161,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,396.97 : 293,107.90 = 116,902.98 : x
  2. Step 2: Convert to fraction form
    212,396.97/293,107.90 = 116,902.98/x
  3. Step 3: Cross multiply
    212,396.97x = 293,107.90 × 116,902.98
  4. Step 4: Simplify right side
    212,396.97x = 34,265,186,971.54
  5. Step 5: Solve for x
    x = 34,265,186,971.54/212,396.97
  6. Step 6: Final answer
    x = 161,326.16

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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.