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Finding the Fourth Proportional to 135,058.64, 202,609.85 and 41,564.39

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Solution

The fourth proportional to 135,058.64, 202,609.85 and 41,564.39 is: 62,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,058.64 : 202,609.85 = 41,564.39 : x
  2. Step 2: Convert to fraction form
    135,058.64/202,609.85 = 41,564.39/x
  3. Step 3: Cross multiply
    135,058.64x = 202,609.85 × 41,564.39
  4. Step 4: Simplify right side
    135,058.64x = 8,421,353,602.37
  5. Step 5: Solve for x
    x = 8,421,353,602.37/135,058.64
  6. Step 6: Final answer
    x = 62,353.31

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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.