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Finding the Fourth Proportional to 230,938.80, 346,084.20 and 183,634.80

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Solution

The fourth proportional to 230,938.80, 346,084.20 and 183,634.80 is: 275,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,938.80 : 346,084.20 = 183,634.80 : x
  2. Step 2: Convert to fraction form
    230,938.80/346,084.20 = 183,634.80/x
  3. Step 3: Cross multiply
    230,938.80x = 346,084.20 × 183,634.80
  4. Step 4: Simplify right side
    230,938.80x = 63,553,102,850.16
  5. Step 5: Solve for x
    x = 63,553,102,850.16/230,938.80
  6. Step 6: Final answer
    x = 275,194.57

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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.