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Finding the Fourth Proportional to 230,160.06, 345,322.89 and 80,422.38

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Solution

The fourth proportional to 230,160.06, 345,322.89 and 80,422.38 is: 120,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160.06 : 345,322.89 = 80,422.38 : x
  2. Step 2: Convert to fraction form
    230,160.06/345,322.89 = 80,422.38/x
  3. Step 3: Cross multiply
    230,160.06x = 345,322.89 × 80,422.38
  4. Step 4: Simplify right side
    230,160.06x = 27,771,688,682.28
  5. Step 5: Solve for x
    x = 27,771,688,682.28/230,160.06
  6. Step 6: Final answer
    x = 120,662.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.