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Finding the Fourth Proportional to 233,313.10, 350,034.45 and 100,257.10

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Solution

The fourth proportional to 233,313.10, 350,034.45 and 100,257.10 is: 150,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.10 : 350,034.45 = 100,257.10 : x
  2. Step 2: Convert to fraction form
    233,313.10/350,034.45 = 100,257.10/x
  3. Step 3: Cross multiply
    233,313.10x = 350,034.45 × 100,257.10
  4. Step 4: Simplify right side
    233,313.10x = 35,093,438,857.10
  5. Step 5: Solve for x
    x = 35,093,438,857.10/233,313.10
  6. Step 6: Final answer
    x = 150,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.