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Finding the Fourth Proportional to 101,169, 151,771.32 and 34,616.16

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Solution

The fourth proportional to 101,169, 151,771.32 and 34,616.16 is: 51,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,169 : 151,771.32 = 34,616.16 : x
  2. Step 2: Convert to fraction form
    101,169/151,771.32 = 34,616.16/x
  3. Step 3: Cross multiply
    101,169x = 151,771.32 × 34,616.16
  4. Step 4: Simplify right side
    101,169x = 5,253,740,296.53
  5. Step 5: Solve for x
    x = 5,253,740,296.53/101,169
  6. Step 6: Final answer
    x = 51,930.34

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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.