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Finding the Fourth Proportional to 230,878.80, 346,145.40 and 125,816.40

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Solution

The fourth proportional to 230,878.80, 346,145.40 and 125,816.40 is: 188,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878.80 : 346,145.40 = 125,816.40 : x
  2. Step 2: Convert to fraction form
    230,878.80/346,145.40 = 125,816.40/x
  3. Step 3: Cross multiply
    230,878.80x = 346,145.40 × 125,816.40
  4. Step 4: Simplify right side
    230,878.80x = 43,550,768,104.56
  5. Step 5: Solve for x
    x = 43,550,768,104.56/230,878.80
  6. Step 6: Final answer
    x = 188,630.43

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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.