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Finding the Fourth Proportional to 117,194.71, 175,856.06 and 49,716.32

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Solution

The fourth proportional to 117,194.71, 175,856.06 and 49,716.32 is: 74,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,194.71 : 175,856.06 = 49,716.32 : x
  2. Step 2: Convert to fraction form
    117,194.71/175,856.06 = 49,716.32/x
  3. Step 3: Cross multiply
    117,194.71x = 175,856.06 × 49,716.32
  4. Step 4: Simplify right side
    117,194.71x = 8,742,916,152.90
  5. Step 5: Solve for x
    x = 8,742,916,152.90/117,194.71
  6. Step 6: Final answer
    x = 74,601.63

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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.