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Finding the Fourth Proportional to 100,906.94, 139,251.61 and 58,490.07

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Solution

The fourth proportional to 100,906.94, 139,251.61 and 58,490.07 is: 80,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.94 : 139,251.61 = 58,490.07 : x
  2. Step 2: Convert to fraction form
    100,906.94/139,251.61 = 58,490.07/x
  3. Step 3: Cross multiply
    100,906.94x = 139,251.61 × 58,490.07
  4. Step 4: Simplify right side
    100,906.94x = 8,144,836,416.51
  5. Step 5: Solve for x
    x = 8,144,836,416.51/100,906.94
  6. Step 6: Final answer
    x = 80,716.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.