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Finding the Fourth Proportional to 192,441, 265,577.85 and 106,398.40

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Solution

The fourth proportional to 192,441, 265,577.85 and 106,398.40 is: 146,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,441 : 265,577.85 = 106,398.40 : x
  2. Step 2: Convert to fraction form
    192,441/265,577.85 = 106,398.40/x
  3. Step 3: Cross multiply
    192,441x = 265,577.85 × 106,398.40
  4. Step 4: Simplify right side
    192,441x = 28,257,058,315.44
  5. Step 5: Solve for x
    x = 28,257,058,315.44/192,441
  6. Step 6: Final answer
    x = 146,834.92

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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.