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Finding the Fourth Proportional to 109,570.62, 164,747.16 and 100,910.10

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Solution

The fourth proportional to 109,570.62, 164,747.16 and 100,910.10 is: 151,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,570.62 : 164,747.16 = 100,910.10 : x
  2. Step 2: Convert to fraction form
    109,570.62/164,747.16 = 100,910.10/x
  3. Step 3: Cross multiply
    109,570.62x = 164,747.16 × 100,910.10
  4. Step 4: Simplify right side
    109,570.62x = 16,624,652,390.32
  5. Step 5: Solve for x
    x = 16,624,652,390.32/109,570.62
  6. Step 6: Final answer
    x = 151,725.46

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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.