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Finding the Fourth Proportional to 232,930.42, 349,477.64 and 114,684.80

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Solution

The fourth proportional to 232,930.42, 349,477.64 and 114,684.80 is: 172,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,930.42 : 349,477.64 = 114,684.80 : x
  2. Step 2: Convert to fraction form
    232,930.42/349,477.64 = 114,684.80/x
  3. Step 3: Cross multiply
    232,930.42x = 349,477.64 × 114,684.80
  4. Step 4: Simplify right side
    232,930.42x = 40,079,771,357.13
  5. Step 5: Solve for x
    x = 40,079,771,357.13/232,930.42
  6. Step 6: Final answer
    x = 172,067.57

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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.