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Finding the Fourth Proportional to 259,912.50, 358,679.34 and 146,742.54

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Solution

The fourth proportional to 259,912.50, 358,679.34 and 146,742.54 is: 202,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,912.50 : 358,679.34 = 146,742.54 : x
  2. Step 2: Convert to fraction form
    259,912.50/358,679.34 = 146,742.54/x
  3. Step 3: Cross multiply
    259,912.50x = 358,679.34 × 146,742.54
  4. Step 4: Simplify right side
    259,912.50x = 52,633,517,397.12
  5. Step 5: Solve for x
    x = 52,633,517,397.12/259,912.50
  6. Step 6: Final answer
    x = 202,504.76

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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.