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Finding the Fourth Proportional to 230,822.80, 346,331.40 and 125,717.20

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Solution

The fourth proportional to 230,822.80, 346,331.40 and 125,717.20 is: 188,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.80 : 346,331.40 = 125,717.20 : x
  2. Step 2: Convert to fraction form
    230,822.80/346,331.40 = 125,717.20/x
  3. Step 3: Cross multiply
    230,822.80x = 346,331.40 × 125,717.20
  4. Step 4: Simplify right side
    230,822.80x = 43,539,813,880.08
  5. Step 5: Solve for x
    x = 43,539,813,880.08/230,822.80
  6. Step 6: Final answer
    x = 188,628.74

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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.