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Finding the Fourth Proportional to 140,495.46, 210,853.90 and 61,664.10

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Solution

The fourth proportional to 140,495.46, 210,853.90 and 61,664.10 is: 92,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,495.46 : 210,853.90 = 61,664.10 : x
  2. Step 2: Convert to fraction form
    140,495.46/210,853.90 = 61,664.10/x
  3. Step 3: Cross multiply
    140,495.46x = 210,853.90 × 61,664.10
  4. Step 4: Simplify right side
    140,495.46x = 13,002,115,974.99
  5. Step 5: Solve for x
    x = 13,002,115,974.99/140,495.46
  6. Step 6: Final answer
    x = 92,544.74

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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.