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Finding the Fourth Proportional to 233,634.19, 350,446.25 and 65,150.03

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Solution

The fourth proportional to 233,634.19, 350,446.25 and 65,150.03 is: 97,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,634.19 : 350,446.25 = 65,150.03 : x
  2. Step 2: Convert to fraction form
    233,634.19/350,446.25 = 65,150.03/x
  3. Step 3: Cross multiply
    233,634.19x = 350,446.25 × 65,150.03
  4. Step 4: Simplify right side
    233,634.19x = 22,831,581,622.91
  5. Step 5: Solve for x
    x = 22,831,581,622.91/233,634.19
  6. Step 6: Final answer
    x = 97,723.63

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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.