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Finding the Fourth Proportional to 127,684.50, 191,526.75 and 40,132.50

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Solution

The fourth proportional to 127,684.50, 191,526.75 and 40,132.50 is: 60,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,684.50 : 191,526.75 = 40,132.50 : x
  2. Step 2: Convert to fraction form
    127,684.50/191,526.75 = 40,132.50/x
  3. Step 3: Cross multiply
    127,684.50x = 191,526.75 × 40,132.50
  4. Step 4: Simplify right side
    127,684.50x = 7,686,447,294.38
  5. Step 5: Solve for x
    x = 7,686,447,294.38/127,684.50
  6. Step 6: Final answer
    x = 60,198.75

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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.