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Finding the Fourth Proportional to 105,806.50, 158,749.71 and 55,884.58

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Solution

The fourth proportional to 105,806.50, 158,749.71 and 55,884.58 is: 83,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.50 : 158,749.71 = 55,884.58 : x
  2. Step 2: Convert to fraction form
    105,806.50/158,749.71 = 55,884.58/x
  3. Step 3: Cross multiply
    105,806.50x = 158,749.71 × 55,884.58
  4. Step 4: Simplify right side
    105,806.50x = 8,871,660,868.47
  5. Step 5: Solve for x
    x = 8,871,660,868.47/105,806.50
  6. Step 6: Final answer
    x = 83,847.98

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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.