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Finding the Fourth Proportional to 164,090.60, 245,747.10 and 111,213.80

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Solution

The fourth proportional to 164,090.60, 245,747.10 and 111,213.80 is: 166,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,090.60 : 245,747.10 = 111,213.80 : x
  2. Step 2: Convert to fraction form
    164,090.60/245,747.10 = 111,213.80/x
  3. Step 3: Cross multiply
    164,090.60x = 245,747.10 × 111,213.80
  4. Step 4: Simplify right side
    164,090.60x = 27,330,468,829.98
  5. Step 5: Solve for x
    x = 27,330,468,829.98/164,090.60
  6. Step 6: Final answer
    x = 166,557.19

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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.