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Finding the Fourth Proportional to 114,072.72, 171,016.80 and 69,684.48

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Solution

The fourth proportional to 114,072.72, 171,016.80 and 69,684.48 is: 104,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,072.72 : 171,016.80 = 69,684.48 : x
  2. Step 2: Convert to fraction form
    114,072.72/171,016.80 = 69,684.48/x
  3. Step 3: Cross multiply
    114,072.72x = 171,016.80 × 69,684.48
  4. Step 4: Simplify right side
    114,072.72x = 11,917,216,779.26
  5. Step 5: Solve for x
    x = 11,917,216,779.26/114,072.72
  6. Step 6: Final answer
    x = 104,470.35

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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.