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Finding the Fourth Proportional to 207,781.46, 311,655.53 and 92,411.67

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Solution

The fourth proportional to 207,781.46, 311,655.53 and 92,411.67 is: 138,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,781.46 : 311,655.53 = 92,411.67 : x
  2. Step 2: Convert to fraction form
    207,781.46/311,655.53 = 92,411.67/x
  3. Step 3: Cross multiply
    207,781.46x = 311,655.53 × 92,411.67
  4. Step 4: Simplify right side
    207,781.46x = 28,800,607,529.98
  5. Step 5: Solve for x
    x = 28,800,607,529.98/207,781.46
  6. Step 6: Final answer
    x = 138,610.10

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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.