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Finding the Fourth Proportional to 275,167.11, 412,791.66 and 97,659.26

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Solution

The fourth proportional to 275,167.11, 412,791.66 and 97,659.26 is: 146,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,167.11 : 412,791.66 = 97,659.26 : x
  2. Step 2: Convert to fraction form
    275,167.11/412,791.66 = 97,659.26/x
  3. Step 3: Cross multiply
    275,167.11x = 412,791.66 × 97,659.26
  4. Step 4: Simplify right side
    275,167.11x = 40,312,925,985.81
  5. Step 5: Solve for x
    x = 40,312,925,985.81/275,167.11
  6. Step 6: Final answer
    x = 146,503.43

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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.