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Finding the Fourth Proportional to 117,879.92, 176,856.77 and 75,807.51

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Solution

The fourth proportional to 117,879.92, 176,856.77 and 75,807.51 is: 113,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,879.92 : 176,856.77 = 75,807.51 : x
  2. Step 2: Convert to fraction form
    117,879.92/176,856.77 = 75,807.51/x
  3. Step 3: Cross multiply
    117,879.92x = 176,856.77 × 75,807.51
  4. Step 4: Simplify right side
    117,879.92x = 13,407,071,360.34
  5. Step 5: Solve for x
    x = 13,407,071,360.34/117,879.92
  6. Step 6: Final answer
    x = 113,734.99

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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.