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Finding the Fourth Proportional to 166,705.28, 230,051.50 and 90,222.78

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Solution

The fourth proportional to 166,705.28, 230,051.50 and 90,222.78 is: 124,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,705.28 : 230,051.50 = 90,222.78 : x
  2. Step 2: Convert to fraction form
    166,705.28/230,051.50 = 90,222.78/x
  3. Step 3: Cross multiply
    166,705.28x = 230,051.50 × 90,222.78
  4. Step 4: Simplify right side
    166,705.28x = 20,755,885,873.17
  5. Step 5: Solve for x
    x = 20,755,885,873.17/166,705.28
  6. Step 6: Final answer
    x = 124,506.47

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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.