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Finding the Fourth Proportional to 212,820.53, 293,694.38 and 117,330.65

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Solution

The fourth proportional to 212,820.53, 293,694.38 and 117,330.65 is: 161,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,820.53 : 293,694.38 = 117,330.65 : x
  2. Step 2: Convert to fraction form
    212,820.53/293,694.38 = 117,330.65/x
  3. Step 3: Cross multiply
    212,820.53x = 293,694.38 × 117,330.65
  4. Step 4: Simplify right side
    212,820.53x = 34,459,350,451.62
  5. Step 5: Solve for x
    x = 34,459,350,451.62/212,820.53
  6. Step 6: Final answer
    x = 161,917.42

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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.