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Finding the Fourth Proportional to 117,471.70, 162,071.49 and 75,055.06

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Solution

The fourth proportional to 117,471.70, 162,071.49 and 75,055.06 is: 103,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,471.70 : 162,071.49 = 75,055.06 : x
  2. Step 2: Convert to fraction form
    117,471.70/162,071.49 = 75,055.06/x
  3. Step 3: Cross multiply
    117,471.70x = 162,071.49 × 75,055.06
  4. Step 4: Simplify right side
    117,471.70x = 12,164,285,406.24
  5. Step 5: Solve for x
    x = 12,164,285,406.24/117,471.70
  6. Step 6: Final answer
    x = 103,550.77

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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.