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Finding the Fourth Proportional to 255,957.84, 383,997.24 and 115,716.24

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Solution

The fourth proportional to 255,957.84, 383,997.24 and 115,716.24 is: 173,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,957.84 : 383,997.24 = 115,716.24 : x
  2. Step 2: Convert to fraction form
    255,957.84/383,997.24 = 115,716.24/x
  3. Step 3: Cross multiply
    255,957.84x = 383,997.24 × 115,716.24
  4. Step 4: Simplify right side
    255,957.84x = 44,434,716,783.18
  5. Step 5: Solve for x
    x = 44,434,716,783.18/255,957.84
  6. Step 6: Final answer
    x = 173,601.70

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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.