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Finding the Fourth Proportional to 117,684.48, 176,471.26 and 42,751.80

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Solution

The fourth proportional to 117,684.48, 176,471.26 and 42,751.80 is: 64,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684.48 : 176,471.26 = 42,751.80 : x
  2. Step 2: Convert to fraction form
    117,684.48/176,471.26 = 42,751.80/x
  3. Step 3: Cross multiply
    117,684.48x = 176,471.26 × 42,751.80
  4. Step 4: Simplify right side
    117,684.48x = 7,544,464,013.27
  5. Step 5: Solve for x
    x = 7,544,464,013.27/117,684.48
  6. Step 6: Final answer
    x = 64,107.55

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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.