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Finding the Fourth Proportional to 135,095.16, 202,667.40 and 67,662.48

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Solution

The fourth proportional to 135,095.16, 202,667.40 and 67,662.48 is: 101,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,095.16 : 202,667.40 = 67,662.48 : x
  2. Step 2: Convert to fraction form
    135,095.16/202,667.40 = 67,662.48/x
  3. Step 3: Cross multiply
    135,095.16x = 202,667.40 × 67,662.48
  4. Step 4: Simplify right side
    135,095.16x = 13,712,978,899.15
  5. Step 5: Solve for x
    x = 13,712,978,899.15/135,095.16
  6. Step 6: Final answer
    x = 101,506.07

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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.