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Finding the Fourth Proportional to 265,677.76, 398,604.13 and 107,863.84

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Solution

The fourth proportional to 265,677.76, 398,604.13 and 107,863.84 is: 161,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,677.76 : 398,604.13 = 107,863.84 : x
  2. Step 2: Convert to fraction form
    265,677.76/398,604.13 = 107,863.84/x
  3. Step 3: Cross multiply
    265,677.76x = 398,604.13 × 107,863.84
  4. Step 4: Simplify right side
    265,677.76x = 42,994,970,835.49
  5. Step 5: Solve for x
    x = 42,994,970,835.49/265,677.76
  6. Step 6: Final answer
    x = 161,831.28

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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.