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Finding the Fourth Proportional to 135,190.26, 186,569.64 and 77,838.30

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Solution

The fourth proportional to 135,190.26, 186,569.64 and 77,838.30 is: 107,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,190.26 : 186,569.64 = 77,838.30 : x
  2. Step 2: Convert to fraction form
    135,190.26/186,569.64 = 77,838.30/x
  3. Step 3: Cross multiply
    135,190.26x = 186,569.64 × 77,838.30
  4. Step 4: Simplify right side
    135,190.26x = 14,522,263,609.21
  5. Step 5: Solve for x
    x = 14,522,263,609.21/135,190.26
  6. Step 6: Final answer
    x = 107,420.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.