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Finding the Fourth Proportional to 92,823.80, 139,235.70 and 66,774.20

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Solution

The fourth proportional to 92,823.80, 139,235.70 and 66,774.20 is: 100,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823.80 : 139,235.70 = 66,774.20 : x
  2. Step 2: Convert to fraction form
    92,823.80/139,235.70 = 66,774.20/x
  3. Step 3: Cross multiply
    92,823.80x = 139,235.70 × 66,774.20
  4. Step 4: Simplify right side
    92,823.80x = 9,297,352,478.94
  5. Step 5: Solve for x
    x = 9,297,352,478.94/92,823.80
  6. Step 6: Final answer
    x = 100,161.30

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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.