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Finding the Fourth Proportional to 92,826.22, 139,213.80 and 45,416.92

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Solution

The fourth proportional to 92,826.22, 139,213.80 and 45,416.92 is: 68,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,826.22 : 139,213.80 = 45,416.92 : x
  2. Step 2: Convert to fraction form
    92,826.22/139,213.80 = 45,416.92/x
  3. Step 3: Cross multiply
    92,826.22x = 139,213.80 × 45,416.92
  4. Step 4: Simplify right side
    92,826.22x = 6,322,662,017.50
  5. Step 5: Solve for x
    x = 6,322,662,017.50/92,826.22
  6. Step 6: Final answer
    x = 68,112.89

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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.