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Finding the Fourth Proportional to 164,524.32, 227,031.12 and 92,894.40

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Solution

The fourth proportional to 164,524.32, 227,031.12 and 92,894.40 is: 128,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,524.32 : 227,031.12 = 92,894.40 : x
  2. Step 2: Convert to fraction form
    164,524.32/227,031.12 = 92,894.40/x
  3. Step 3: Cross multiply
    164,524.32x = 227,031.12 × 92,894.40
  4. Step 4: Simplify right side
    164,524.32x = 21,089,919,673.73
  5. Step 5: Solve for x
    x = 21,089,919,673.73/164,524.32
  6. Step 6: Final answer
    x = 128,187.25

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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.