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Finding the Fourth Proportional to 102,175.75, 154,223.32 and 102,175.75

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Solution

The fourth proportional to 102,175.75, 154,223.32 and 102,175.75 is: 154,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175.75 : 154,223.32 = 102,175.75 : x
  2. Step 2: Convert to fraction form
    102,175.75/154,223.32 = 102,175.75/x
  3. Step 3: Cross multiply
    102,175.75x = 154,223.32 × 102,175.75
  4. Step 4: Simplify right side
    102,175.75x = 15,757,883,388.49
  5. Step 5: Solve for x
    x = 15,757,883,388.49/102,175.75
  6. Step 6: Final answer
    x = 154,223.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.