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Finding the Fourth Proportional to 313,161.66, 469,820.25 and 91,545.66

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Solution

The fourth proportional to 313,161.66, 469,820.25 and 91,545.66 is: 137,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,161.66 : 469,820.25 = 91,545.66 : x
  2. Step 2: Convert to fraction form
    313,161.66/469,820.25 = 91,545.66/x
  3. Step 3: Cross multiply
    313,161.66x = 469,820.25 × 91,545.66
  4. Step 4: Simplify right side
    313,161.66x = 43,010,004,867.62
  5. Step 5: Solve for x
    x = 43,010,004,867.62/313,161.66
  6. Step 6: Final answer
    x = 137,341.22

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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.