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Finding the Fourth Proportional to 140,884.40, 211,339.66 and 50,949.60

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Solution

The fourth proportional to 140,884.40, 211,339.66 and 50,949.60 is: 76,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,884.40 : 211,339.66 = 50,949.60 : x
  2. Step 2: Convert to fraction form
    140,884.40/211,339.66 = 50,949.60/x
  3. Step 3: Cross multiply
    140,884.40x = 211,339.66 × 50,949.60
  4. Step 4: Simplify right side
    140,884.40x = 10,767,671,141.14
  5. Step 5: Solve for x
    x = 10,767,671,141.14/140,884.40
  6. Step 6: Final answer
    x = 76,429.12

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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.