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Finding the Fourth Proportional to 230,852.70, 346,084.65 and 120,044.70

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Solution

The fourth proportional to 230,852.70, 346,084.65 and 120,044.70 is: 179,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852.70 : 346,084.65 = 120,044.70 : x
  2. Step 2: Convert to fraction form
    230,852.70/346,084.65 = 120,044.70/x
  3. Step 3: Cross multiply
    230,852.70x = 346,084.65 × 120,044.70
  4. Step 4: Simplify right side
    230,852.70x = 41,545,627,983.86
  5. Step 5: Solve for x
    x = 41,545,627,983.86/230,852.70
  6. Step 6: Final answer
    x = 179,965.96

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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.