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Finding the Fourth Proportional to 92,213.83, 127,102.13 and 65,321.83

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Solution

The fourth proportional to 92,213.83, 127,102.13 and 65,321.83 is: 90,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.83 : 127,102.13 = 65,321.83 : x
  2. Step 2: Convert to fraction form
    92,213.83/127,102.13 = 65,321.83/x
  3. Step 3: Cross multiply
    92,213.83x = 127,102.13 × 65,321.83
  4. Step 4: Simplify right side
    92,213.83x = 8,302,543,401.89
  5. Step 5: Solve for x
    x = 8,302,543,401.89/92,213.83
  6. Step 6: Final answer
    x = 90,035.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.