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Finding the Fourth Proportional to 339,971.80, 509,957.70 and 140,225.80

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Solution

The fourth proportional to 339,971.80, 509,957.70 and 140,225.80 is: 210,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,971.80 : 509,957.70 = 140,225.80 : x
  2. Step 2: Convert to fraction form
    339,971.80/509,957.70 = 140,225.80/x
  3. Step 3: Cross multiply
    339,971.80x = 509,957.70 × 140,225.80
  4. Step 4: Simplify right side
    339,971.80x = 71,509,226,448.66
  5. Step 5: Solve for x
    x = 71,509,226,448.66/339,971.80
  6. Step 6: Final answer
    x = 210,338.70

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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.