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Finding the Fourth Proportional to 230,878.30, 345,691.86 and 119,837.02

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Solution

The fourth proportional to 230,878.30, 345,691.86 and 119,837.02 is: 179,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878.30 : 345,691.86 = 119,837.02 : x
  2. Step 2: Convert to fraction form
    230,878.30/345,691.86 = 119,837.02/x
  3. Step 3: Cross multiply
    230,878.30x = 345,691.86 × 119,837.02
  4. Step 4: Simplify right side
    230,878.30x = 41,426,682,340.66
  5. Step 5: Solve for x
    x = 41,426,682,340.66/230,878.30
  6. Step 6: Final answer
    x = 179,430.82

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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.