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Finding the Fourth Proportional to 212,331.38, 293,019.38 and 116,840.13

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Solution

The fourth proportional to 212,331.38, 293,019.38 and 116,840.13 is: 161,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,331.38 : 293,019.38 = 116,840.13 : x
  2. Step 2: Convert to fraction form
    212,331.38/293,019.38 = 116,840.13/x
  3. Step 3: Cross multiply
    212,331.38x = 293,019.38 × 116,840.13
  4. Step 4: Simplify right side
    212,331.38x = 34,236,421,867.52
  5. Step 5: Solve for x
    x = 34,236,421,867.52/212,331.38
  6. Step 6: Final answer
    x = 161,240.52

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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.