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Finding the Fourth Proportional to 192,774.01, 288,954.16 and 80,369.50

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Solution

The fourth proportional to 192,774.01, 288,954.16 and 80,369.50 is: 120,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,774.01 : 288,954.16 = 80,369.50 : x
  2. Step 2: Convert to fraction form
    192,774.01/288,954.16 = 80,369.50/x
  3. Step 3: Cross multiply
    192,774.01x = 288,954.16 × 80,369.50
  4. Step 4: Simplify right side
    192,774.01x = 23,223,101,362.12
  5. Step 5: Solve for x
    x = 23,223,101,362.12/192,774.01
  6. Step 6: Final answer
    x = 120,468.01

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1.5x scale

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.