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Finding the Fourth Proportional to 265,325.83, 397,991.81 and 113,502.26

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Solution

The fourth proportional to 265,325.83, 397,991.81 and 113,502.26 is: 170,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,325.83 : 397,991.81 = 113,502.26 : x
  2. Step 2: Convert to fraction form
    265,325.83/397,991.81 = 113,502.26/x
  3. Step 3: Cross multiply
    265,325.83x = 397,991.81 × 113,502.26
  4. Step 4: Simplify right side
    265,325.83x = 45,172,971,175.23
  5. Step 5: Solve for x
    x = 45,172,971,175.23/265,325.83
  6. Step 6: Final answer
    x = 170,254.71

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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.