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Finding the Fourth Proportional to 259,945.50, 358,725.75 and 140,713.50

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Solution

The fourth proportional to 259,945.50, 358,725.75 and 140,713.50 is: 194,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,945.50 : 358,725.75 = 140,713.50 : x
  2. Step 2: Convert to fraction form
    259,945.50/358,725.75 = 140,713.50/x
  3. Step 3: Cross multiply
    259,945.50x = 358,725.75 × 140,713.50
  4. Step 4: Simplify right side
    259,945.50x = 50,477,555,822.63
  5. Step 5: Solve for x
    x = 50,477,555,822.63/259,945.50
  6. Step 6: Final answer
    x = 194,185.15

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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.