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Finding the Fourth Proportional to 212,381.81, 293,081.34 and 115,587.60

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Solution

The fourth proportional to 212,381.81, 293,081.34 and 115,587.60 is: 159,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,381.81 : 293,081.34 = 115,587.60 : x
  2. Step 2: Convert to fraction form
    212,381.81/293,081.34 = 115,587.60/x
  3. Step 3: Cross multiply
    212,381.81x = 293,081.34 × 115,587.60
  4. Step 4: Simplify right side
    212,381.81x = 33,876,568,695.38
  5. Step 5: Solve for x
    x = 33,876,568,695.38/212,381.81
  6. Step 6: Final answer
    x = 159,507.86

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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.