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Finding the Fourth Proportional to 92,221.14, 138,364.50 and 45,506.82

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Solution

The fourth proportional to 92,221.14, 138,364.50 and 45,506.82 is: 68,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,221.14 : 138,364.50 = 45,506.82 : x
  2. Step 2: Convert to fraction form
    92,221.14/138,364.50 = 45,506.82/x
  3. Step 3: Cross multiply
    92,221.14x = 138,364.50 × 45,506.82
  4. Step 4: Simplify right side
    92,221.14x = 6,296,528,395.89
  5. Step 5: Solve for x
    x = 6,296,528,395.89/92,221.14
  6. Step 6: Final answer
    x = 68,276.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.