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Finding the Fourth Proportional to 150,174, 207,240.12 and 83,110.32

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Solution

The fourth proportional to 150,174, 207,240.12 and 83,110.32 is: 114,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174 : 207,240.12 = 83,110.32 : x
  2. Step 2: Convert to fraction form
    150,174/207,240.12 = 83,110.32/x
  3. Step 3: Cross multiply
    150,174x = 207,240.12 × 83,110.32
  4. Step 4: Simplify right side
    150,174x = 17,223,792,690.04
  5. Step 5: Solve for x
    x = 17,223,792,690.04/150,174
  6. Step 6: Final answer
    x = 114,692.24

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1.5x scale

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.