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Finding the Fourth Proportional to 106,114.66, 159,135.06 and 39,518.45

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Solution

The fourth proportional to 106,114.66, 159,135.06 and 39,518.45 is: 59,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.66 : 159,135.06 = 39,518.45 : x
  2. Step 2: Convert to fraction form
    106,114.66/159,135.06 = 39,518.45/x
  3. Step 3: Cross multiply
    106,114.66x = 159,135.06 × 39,518.45
  4. Step 4: Simplify right side
    106,114.66x = 6,288,770,861.13
  5. Step 5: Solve for x
    x = 6,288,770,861.13/106,114.66
  6. Step 6: Final answer
    x = 59,263.92

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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.