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Finding the Fourth Proportional to 120,548.48, 166,309.44 and 75,200

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Solution

The fourth proportional to 120,548.48, 166,309.44 and 75,200 is: 103,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,548.48 : 166,309.44 = 75,200 : x
  2. Step 2: Convert to fraction form
    120,548.48/166,309.44 = 75,200/x
  3. Step 3: Cross multiply
    120,548.48x = 166,309.44 × 75,200
  4. Step 4: Simplify right side
    120,548.48x = 12,506,469,888
  5. Step 5: Solve for x
    x = 12,506,469,888/120,548.48
  6. Step 6: Final answer
    x = 103,746.39

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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.