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Finding the Fourth Proportional to 140,948.58, 211,468.95 and 52,208.58

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Solution

The fourth proportional to 140,948.58, 211,468.95 and 52,208.58 is: 78,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,948.58 : 211,468.95 = 52,208.58 : x
  2. Step 2: Convert to fraction form
    140,948.58/211,468.95 = 52,208.58/x
  3. Step 3: Cross multiply
    140,948.58x = 211,468.95 × 52,208.58
  4. Step 4: Simplify right side
    140,948.58x = 11,040,493,593.59
  5. Step 5: Solve for x
    x = 11,040,493,593.59/140,948.58
  6. Step 6: Final answer
    x = 78,329.94

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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.