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Finding the Fourth Proportional to 117,190.91, 175,733.81 and 69,828.32

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Solution

The fourth proportional to 117,190.91, 175,733.81 and 69,828.32 is: 104,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.91 : 175,733.81 = 69,828.32 : x
  2. Step 2: Convert to fraction form
    117,190.91/175,733.81 = 69,828.32/x
  3. Step 3: Cross multiply
    117,190.91x = 175,733.81 × 69,828.32
  4. Step 4: Simplify right side
    117,190.91x = 12,271,195,491.69
  5. Step 5: Solve for x
    x = 12,271,195,491.69/117,190.91
  6. Step 6: Final answer
    x = 104,711.16

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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.