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Finding the Fourth Proportional to 230,705.20, 346,057.80 and 125,729.20

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Solution

The fourth proportional to 230,705.20, 346,057.80 and 125,729.20 is: 188,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,705.20 : 346,057.80 = 125,729.20 : x
  2. Step 2: Convert to fraction form
    230,705.20/346,057.80 = 125,729.20/x
  3. Step 3: Cross multiply
    230,705.20x = 346,057.80 × 125,729.20
  4. Step 4: Simplify right side
    230,705.20x = 43,509,570,347.76
  5. Step 5: Solve for x
    x = 43,509,570,347.76/230,705.20
  6. Step 6: Final answer
    x = 188,593.80

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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.