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Finding the Fourth Proportional to 342,141.22, 513,212.10 and 92,823.22

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Solution

The fourth proportional to 342,141.22, 513,212.10 and 92,823.22 is: 139,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,141.22 : 513,212.10 = 92,823.22 : x
  2. Step 2: Convert to fraction form
    342,141.22/513,212.10 = 92,823.22/x
  3. Step 3: Cross multiply
    342,141.22x = 513,212.10 × 92,823.22
  4. Step 4: Simplify right side
    342,141.22x = 47,637,999,664.96
  5. Step 5: Solve for x
    x = 47,637,999,664.96/342,141.22
  6. Step 6: Final answer
    x = 139,234.90

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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.