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Finding the Fourth Proportional to 254,814.50, 351,644.24 and 140,095.10

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Solution

The fourth proportional to 254,814.50, 351,644.24 and 140,095.10 is: 193,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,814.50 : 351,644.24 = 140,095.10 : x
  2. Step 2: Convert to fraction form
    254,814.50/351,644.24 = 140,095.10/x
  3. Step 3: Cross multiply
    254,814.50x = 351,644.24 × 140,095.10
  4. Step 4: Simplify right side
    254,814.50x = 49,263,636,196.57
  5. Step 5: Solve for x
    x = 49,263,636,196.57/254,814.50
  6. Step 6: Final answer
    x = 193,331.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.