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Finding the Fourth Proportional to 233,919.40, 350,825.34 and 65,451.54

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Solution

The fourth proportional to 233,919.40, 350,825.34 and 65,451.54 is: 98,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,919.40 : 350,825.34 = 65,451.54 : x
  2. Step 2: Convert to fraction form
    233,919.40/350,825.34 = 65,451.54/x
  3. Step 3: Cross multiply
    233,919.40x = 350,825.34 × 65,451.54
  4. Step 4: Simplify right side
    233,919.40x = 22,962,058,774.02
  5. Step 5: Solve for x
    x = 22,962,058,774.02/233,919.40
  6. Step 6: Final answer
    x = 98,162.27

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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.