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Finding the Fourth Proportional to 192,144.64, 288,392.74 and 97,440.19

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Solution

The fourth proportional to 192,144.64, 288,392.74 and 97,440.19 is: 146,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,144.64 : 288,392.74 = 97,440.19 : x
  2. Step 2: Convert to fraction form
    192,144.64/288,392.74 = 97,440.19/x
  3. Step 3: Cross multiply
    192,144.64x = 288,392.74 × 97,440.19
  4. Step 4: Simplify right side
    192,144.64x = 28,101,043,637.82
  5. Step 5: Solve for x
    x = 28,101,043,637.82/192,144.64
  6. Step 6: Final answer
    x = 146,249.43

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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.