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Finding the Fourth Proportional to 191,770.56, 286,884.96 and 165,754.56

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Solution

The fourth proportional to 191,770.56, 286,884.96 and 165,754.56 is: 247,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,770.56 : 286,884.96 = 165,754.56 : x
  2. Step 2: Convert to fraction form
    191,770.56/286,884.96 = 165,754.56/x
  3. Step 3: Cross multiply
    191,770.56x = 286,884.96 × 165,754.56
  4. Step 4: Simplify right side
    191,770.56x = 47,552,490,315.42
  5. Step 5: Solve for x
    x = 47,552,490,315.42/191,770.56
  6. Step 6: Final answer
    x = 247,965.54

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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.