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Finding the Fourth Proportional to 100,946.76, 138,297.56 and 97,163.22

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Solution

The fourth proportional to 100,946.76, 138,297.56 and 97,163.22 is: 133,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946.76 : 138,297.56 = 97,163.22 : x
  2. Step 2: Convert to fraction form
    100,946.76/138,297.56 = 97,163.22/x
  3. Step 3: Cross multiply
    100,946.76x = 138,297.56 × 97,163.22
  4. Step 4: Simplify right side
    100,946.76x = 13,437,435,761.93
  5. Step 5: Solve for x
    x = 13,437,435,761.93/100,946.76
  6. Step 6: Final answer
    x = 133,114.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.