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Finding the Fourth Proportional to 117,880.94, 176,756.78 and 46,731.50

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Solution

The fourth proportional to 117,880.94, 176,756.78 and 46,731.50 is: 70,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,880.94 : 176,756.78 = 46,731.50 : x
  2. Step 2: Convert to fraction form
    117,880.94/176,756.78 = 46,731.50/x
  3. Step 3: Cross multiply
    117,880.94x = 176,756.78 × 46,731.50
  4. Step 4: Simplify right side
    117,880.94x = 8,260,109,464.57
  5. Step 5: Solve for x
    x = 8,260,109,464.57/117,880.94
  6. Step 6: Final answer
    x = 70,071.63

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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.