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Finding the Fourth Proportional to 150,164.16, 207,228 and 83,096

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Solution

The fourth proportional to 150,164.16, 207,228 and 83,096 is: 114,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,164.16 : 207,228 = 83,096 : x
  2. Step 2: Convert to fraction form
    150,164.16/207,228 = 83,096/x
  3. Step 3: Cross multiply
    150,164.16x = 207,228 × 83,096
  4. Step 4: Simplify right side
    150,164.16x = 17,219,817,888
  5. Step 5: Solve for x
    x = 17,219,817,888/150,164.16
  6. Step 6: Final answer
    x = 114,673.29

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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.