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Finding the Fourth Proportional to 313,180.86, 469,541.27 and 99,825.95

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Solution

The fourth proportional to 313,180.86, 469,541.27 and 99,825.95 is: 149,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,180.86 : 469,541.27 = 99,825.95 : x
  2. Step 2: Convert to fraction form
    313,180.86/469,541.27 = 99,825.95/x
  3. Step 3: Cross multiply
    313,180.86x = 469,541.27 × 99,825.95
  4. Step 4: Simplify right side
    313,180.86x = 46,872,404,765.37
  5. Step 5: Solve for x
    x = 46,872,404,765.37/313,180.86
  6. Step 6: Final answer
    x = 149,665.61

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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.