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Finding the Fourth Proportional to 114,559.31, 171,899.11 and 83,228.41

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Solution

The fourth proportional to 114,559.31, 171,899.11 and 83,228.41 is: 124,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,559.31 : 171,899.11 = 83,228.41 : x
  2. Step 2: Convert to fraction form
    114,559.31/171,899.11 = 83,228.41/x
  3. Step 3: Cross multiply
    114,559.31x = 171,899.11 × 83,228.41
  4. Step 4: Simplify right side
    114,559.31x = 14,306,889,924.62
  5. Step 5: Solve for x
    x = 14,306,889,924.62/114,559.31
  6. Step 6: Final answer
    x = 124,886.31

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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.