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Finding the Fourth Proportional to 168,096.16, 231,972 and 92,644.64

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Solution

The fourth proportional to 168,096.16, 231,972 and 92,644.64 is: 127,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,096.16 : 231,972 = 92,644.64 : x
  2. Step 2: Convert to fraction form
    168,096.16/231,972 = 92,644.64/x
  3. Step 3: Cross multiply
    168,096.16x = 231,972 × 92,644.64
  4. Step 4: Simplify right side
    168,096.16x = 21,490,962,430.08
  5. Step 5: Solve for x
    x = 21,490,962,430.08/168,096.16
  6. Step 6: Final answer
    x = 127,849.22

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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.