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Finding the Fourth Proportional to 106,308.75, 159,459.14 and 26,346.98

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Solution

The fourth proportional to 106,308.75, 159,459.14 and 26,346.98 is: 39,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308.75 : 159,459.14 = 26,346.98 : x
  2. Step 2: Convert to fraction form
    106,308.75/159,459.14 = 26,346.98/x
  3. Step 3: Cross multiply
    106,308.75x = 159,459.14 × 26,346.98
  4. Step 4: Simplify right side
    106,308.75x = 4,201,267,436.24
  5. Step 5: Solve for x
    x = 4,201,267,436.24/106,308.75
  6. Step 6: Final answer
    x = 39,519.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.