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Finding the Fourth Proportional to 140,878.44, 211,264.20 and 41,005.44

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Solution

The fourth proportional to 140,878.44, 211,264.20 and 41,005.44 is: 61,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,878.44 : 211,264.20 = 41,005.44 : x
  2. Step 2: Convert to fraction form
    140,878.44/211,264.20 = 41,005.44/x
  3. Step 3: Cross multiply
    140,878.44x = 211,264.20 × 41,005.44
  4. Step 4: Simplify right side
    140,878.44x = 8,662,981,477.25
  5. Step 5: Solve for x
    x = 8,662,981,477.25/140,878.44
  6. Step 6: Final answer
    x = 61,492.60

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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.