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Finding the Fourth Proportional to 192,175.64, 288,263.46 and 97,391.06

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Solution

The fourth proportional to 192,175.64, 288,263.46 and 97,391.06 is: 146,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,175.64 : 288,263.46 = 97,391.06 : x
  2. Step 2: Convert to fraction form
    192,175.64/288,263.46 = 97,391.06/x
  3. Step 3: Cross multiply
    192,175.64x = 288,263.46 × 97,391.06
  4. Step 4: Simplify right side
    192,175.64x = 28,074,282,487.35
  5. Step 5: Solve for x
    x = 28,074,282,487.35/192,175.64
  6. Step 6: Final answer
    x = 146,086.59

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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.