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Finding the Fourth Proportional to 140,564.57, 210,846.67 and 45,794.60

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Solution

The fourth proportional to 140,564.57, 210,846.67 and 45,794.60 is: 68,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.57 : 210,846.67 = 45,794.60 : x
  2. Step 2: Convert to fraction form
    140,564.57/210,846.67 = 45,794.60/x
  3. Step 3: Cross multiply
    140,564.57x = 210,846.67 × 45,794.60
  4. Step 4: Simplify right side
    140,564.57x = 9,655,638,913.98
  5. Step 5: Solve for x
    x = 9,655,638,913.98/140,564.57
  6. Step 6: Final answer
    x = 68,691.84

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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.