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Finding the Fourth Proportional to 164,999.64, 247,459.76 and 76,167.80

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Solution

The fourth proportional to 164,999.64, 247,459.76 and 76,167.80 is: 114,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,999.64 : 247,459.76 = 76,167.80 : x
  2. Step 2: Convert to fraction form
    164,999.64/247,459.76 = 76,167.80/x
  3. Step 3: Cross multiply
    164,999.64x = 247,459.76 × 76,167.80
  4. Step 4: Simplify right side
    164,999.64x = 18,848,465,507.73
  5. Step 5: Solve for x
    x = 18,848,465,507.73/164,999.64
  6. Step 6: Final answer
    x = 114,233.37

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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.