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Finding the Fourth Proportional to 164,157.78, 226,623.38 and 116,524.92

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Solution

The fourth proportional to 164,157.78, 226,623.38 and 116,524.92 is: 160,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,157.78 : 226,623.38 = 116,524.92 : x
  2. Step 2: Convert to fraction form
    164,157.78/226,623.38 = 116,524.92/x
  3. Step 3: Cross multiply
    164,157.78x = 226,623.38 × 116,524.92
  4. Step 4: Simplify right side
    164,157.78x = 26,407,271,224.63
  5. Step 5: Solve for x
    x = 26,407,271,224.63/164,157.78
  6. Step 6: Final answer
    x = 160,865.18

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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.