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Finding the Fourth Proportional to 106,867.50, 160,301.25 and 44,538

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Solution

The fourth proportional to 106,867.50, 160,301.25 and 44,538 is: 66,807

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867.50 : 160,301.25 = 44,538 : x
  2. Step 2: Convert to fraction form
    106,867.50/160,301.25 = 44,538/x
  3. Step 3: Cross multiply
    106,867.50x = 160,301.25 × 44,538
  4. Step 4: Simplify right side
    106,867.50x = 7,139,497,072.50
  5. Step 5: Solve for x
    x = 7,139,497,072.50/106,867.50
  6. Step 6: Final answer
    x = 66,807

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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.