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Finding the Fourth Proportional to 230,924.80, 346,743.60 and 125,948.80

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Solution

The fourth proportional to 230,924.80, 346,743.60 and 125,948.80 is: 189,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,924.80 : 346,743.60 = 125,948.80 : x
  2. Step 2: Convert to fraction form
    230,924.80/346,743.60 = 125,948.80/x
  3. Step 3: Cross multiply
    230,924.80x = 346,743.60 × 125,948.80
  4. Step 4: Simplify right side
    230,924.80x = 43,671,940,327.68
  5. Step 5: Solve for x
    x = 43,671,940,327.68/230,924.80
  6. Step 6: Final answer
    x = 189,117.58

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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.