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Finding the Fourth Proportional to 339,821.40, 509,715.90 and 115,159.80

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Solution

The fourth proportional to 339,821.40, 509,715.90 and 115,159.80 is: 172,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,821.40 : 509,715.90 = 115,159.80 : x
  2. Step 2: Convert to fraction form
    339,821.40/509,715.90 = 115,159.80/x
  3. Step 3: Cross multiply
    339,821.40x = 509,715.90 × 115,159.80
  4. Step 4: Simplify right side
    339,821.40x = 58,698,781,100.82
  5. Step 5: Solve for x
    x = 58,698,781,100.82/339,821.40
  6. Step 6: Final answer
    x = 172,734.21

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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.