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Finding the Fourth Proportional to 259,873.50, 358,625.46 and 140,641.50

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Solution

The fourth proportional to 259,873.50, 358,625.46 and 140,641.50 is: 194,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,873.50 : 358,625.46 = 140,641.50 : x
  2. Step 2: Convert to fraction form
    259,873.50/358,625.46 = 140,641.50/x
  3. Step 3: Cross multiply
    259,873.50x = 358,625.46 × 140,641.50
  4. Step 4: Simplify right side
    259,873.50x = 50,437,622,632.59
  5. Step 5: Solve for x
    x = 50,437,622,632.59/259,873.50
  6. Step 6: Final answer
    x = 194,085.29

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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.