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Finding the Fourth Proportional to 233,634.81, 350,452.23 and 65,148.33

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Solution

The fourth proportional to 233,634.81, 350,452.23 and 65,148.33 is: 97,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,634.81 : 350,452.23 = 65,148.33 : x
  2. Step 2: Convert to fraction form
    233,634.81/350,452.23 = 65,148.33/x
  3. Step 3: Cross multiply
    233,634.81x = 350,452.23 × 65,148.33
  4. Step 4: Simplify right side
    233,634.81x = 22,831,377,529.28
  5. Step 5: Solve for x
    x = 22,831,377,529.28/233,634.81
  6. Step 6: Final answer
    x = 97,722.50

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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.