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Finding the Fourth Proportional to 140,467.83, 210,603.17 and 51,709.95

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Solution

The fourth proportional to 140,467.83, 210,603.17 and 51,709.95 is: 77,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467.83 : 210,603.17 = 51,709.95 : x
  2. Step 2: Convert to fraction form
    140,467.83/210,603.17 = 51,709.95/x
  3. Step 3: Cross multiply
    140,467.83x = 210,603.17 × 51,709.95
  4. Step 4: Simplify right side
    140,467.83x = 10,890,279,519.82
  5. Step 5: Solve for x
    x = 10,890,279,519.82/140,467.83
  6. Step 6: Final answer
    x = 77,528.64

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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.