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Finding the Fourth Proportional to 157,745.22, 217,462.26 and 97,275.24

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Solution

The fourth proportional to 157,745.22, 217,462.26 and 97,275.24 is: 134,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,745.22 : 217,462.26 = 97,275.24 : x
  2. Step 2: Convert to fraction form
    157,745.22/217,462.26 = 97,275.24/x
  3. Step 3: Cross multiply
    157,745.22x = 217,462.26 × 97,275.24
  4. Step 4: Simplify right side
    157,745.22x = 21,153,693,532.44
  5. Step 5: Solve for x
    x = 21,153,693,532.44/157,745.22
  6. Step 6: Final answer
    x = 134,100.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.