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Finding the Fourth Proportional to 140,596.94, 210,895.41 and 61,711.85

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Solution

The fourth proportional to 140,596.94, 210,895.41 and 61,711.85 is: 92,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596.94 : 210,895.41 = 61,711.85 : x
  2. Step 2: Convert to fraction form
    140,596.94/210,895.41 = 61,711.85/x
  3. Step 3: Cross multiply
    140,596.94x = 210,895.41 × 61,711.85
  4. Step 4: Simplify right side
    140,596.94x = 13,014,745,907.61
  5. Step 5: Solve for x
    x = 13,014,745,907.61/140,596.94
  6. Step 6: Final answer
    x = 92,567.78

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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.