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Finding the Fourth Proportional to 259,339.14, 357,889.14 and 144,617.42

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Solution

The fourth proportional to 259,339.14, 357,889.14 and 144,617.42 is: 199,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,339.14 : 357,889.14 = 144,617.42 : x
  2. Step 2: Convert to fraction form
    259,339.14/357,889.14 = 144,617.42/x
  3. Step 3: Cross multiply
    259,339.14x = 357,889.14 × 144,617.42
  4. Step 4: Simplify right side
    259,339.14x = 51,757,004,072.82
  5. Step 5: Solve for x
    x = 51,757,004,072.82/259,339.14
  6. Step 6: Final answer
    x = 199,572.67

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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.