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Finding the Fourth Proportional to 259,463.24, 358,059.06 and 140,231.24

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Solution

The fourth proportional to 259,463.24, 358,059.06 and 140,231.24 is: 193,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,463.24 : 358,059.06 = 140,231.24 : x
  2. Step 2: Convert to fraction form
    259,463.24/358,059.06 = 140,231.24/x
  3. Step 3: Cross multiply
    259,463.24x = 358,059.06 × 140,231.24
  4. Step 4: Simplify right side
    259,463.24x = 50,211,065,977.03
  5. Step 5: Solve for x
    x = 50,211,065,977.03/259,463.24
  6. Step 6: Final answer
    x = 193,519.00

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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.