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Finding the Fourth Proportional to 259,873.25, 358,625.09 and 140,641.25

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Solution

The fourth proportional to 259,873.25, 358,625.09 and 140,641.25 is: 194,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,873.25 : 358,625.09 = 140,641.25 : x
  2. Step 2: Convert to fraction form
    259,873.25/358,625.09 = 140,641.25/x
  3. Step 3: Cross multiply
    259,873.25x = 358,625.09 × 140,641.25
  4. Step 4: Simplify right side
    259,873.25x = 50,437,480,938.96
  5. Step 5: Solve for x
    x = 50,437,480,938.96/259,873.25
  6. Step 6: Final answer
    x = 194,084.93

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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.