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Finding the Fourth Proportional to 140,453.98, 210,701.97 and 51,700.73

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Solution

The fourth proportional to 140,453.98, 210,701.97 and 51,700.73 is: 77,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,453.98 : 210,701.97 = 51,700.73 : x
  2. Step 2: Convert to fraction form
    140,453.98/210,701.97 = 51,700.73/x
  3. Step 3: Cross multiply
    140,453.98x = 210,701.97 × 51,700.73
  4. Step 4: Simplify right side
    140,453.98x = 10,893,444,607.93
  5. Step 5: Solve for x
    x = 10,893,444,607.93/140,453.98
  6. Step 6: Final answer
    x = 77,558.82

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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.