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Finding the Fourth Proportional to 212,713.38, 293,540.70 and 115,918.10

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Solution

The fourth proportional to 212,713.38, 293,540.70 and 115,918.10 is: 159,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,713.38 : 293,540.70 = 115,918.10 : x
  2. Step 2: Convert to fraction form
    212,713.38/293,540.70 = 115,918.10/x
  3. Step 3: Cross multiply
    212,713.38x = 293,540.70 × 115,918.10
  4. Step 4: Simplify right side
    212,713.38x = 34,026,678,748.97
  5. Step 5: Solve for x
    x = 34,026,678,748.97/212,713.38
  6. Step 6: Final answer
    x = 159,964.92

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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.