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Finding the Fourth Proportional to 230,830.70, 346,051.65 and 120,022.70

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Solution

The fourth proportional to 230,830.70, 346,051.65 and 120,022.70 is: 179,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.70 : 346,051.65 = 120,022.70 : x
  2. Step 2: Convert to fraction form
    230,830.70/346,051.65 = 120,022.70/x
  3. Step 3: Cross multiply
    230,830.70x = 346,051.65 × 120,022.70
  4. Step 4: Simplify right side
    230,830.70x = 41,534,053,372.46
  5. Step 5: Solve for x
    x = 41,534,053,372.46/230,830.70
  6. Step 6: Final answer
    x = 179,932.97

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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.