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Finding the Fourth Proportional to 135,020.94, 202,534.65 and 41,527.50

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Solution

The fourth proportional to 135,020.94, 202,534.65 and 41,527.50 is: 62,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.94 : 202,534.65 = 41,527.50 : x
  2. Step 2: Convert to fraction form
    135,020.94/202,534.65 = 41,527.50/x
  3. Step 3: Cross multiply
    135,020.94x = 202,534.65 × 41,527.50
  4. Step 4: Simplify right side
    135,020.94x = 8,410,757,677.88
  5. Step 5: Solve for x
    x = 8,410,757,677.88/135,020.94
  6. Step 6: Final answer
    x = 62,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.