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Finding the Fourth Proportional to 150,114, 207,157.32 and 83,050.32

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Solution

The fourth proportional to 150,114, 207,157.32 and 83,050.32 is: 114,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,114 : 207,157.32 = 83,050.32 : x
  2. Step 2: Convert to fraction form
    150,114/207,157.32 = 83,050.32/x
  3. Step 3: Cross multiply
    150,114x = 207,157.32 × 83,050.32
  4. Step 4: Simplify right side
    150,114x = 17,204,481,716.34
  5. Step 5: Solve for x
    x = 17,204,481,716.34/150,114
  6. Step 6: Final answer
    x = 114,609.44

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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.