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Finding the Fourth Proportional to 140,592.74, 210,889.10 and 35,419.91

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Solution

The fourth proportional to 140,592.74, 210,889.10 and 35,419.91 is: 53,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,592.74 : 210,889.10 = 35,419.91 : x
  2. Step 2: Convert to fraction form
    140,592.74/210,889.10 = 35,419.91/x
  3. Step 3: Cross multiply
    140,592.74x = 210,889.10 × 35,419.91
  4. Step 4: Simplify right side
    140,592.74x = 7,469,671,976.09
  5. Step 5: Solve for x
    x = 7,469,671,976.09/140,592.74
  6. Step 6: Final answer
    x = 53,129.86

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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.