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Finding the Fourth Proportional to 135,259.14, 186,641.38 and 77,917.22

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Solution

The fourth proportional to 135,259.14, 186,641.38 and 77,917.22 is: 107,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,259.14 : 186,641.38 = 77,917.22 : x
  2. Step 2: Convert to fraction form
    135,259.14/186,641.38 = 77,917.22/x
  3. Step 3: Cross multiply
    135,259.14x = 186,641.38 × 77,917.22
  4. Step 4: Simplify right side
    135,259.14x = 14,542,576,143.77
  5. Step 5: Solve for x
    x = 14,542,576,143.77/135,259.14
  6. Step 6: Final answer
    x = 107,516.40

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Why These Related Problems?

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