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Finding the Fourth Proportional to 233,491.52, 350,271.84 and 85,736

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Solution

The fourth proportional to 233,491.52, 350,271.84 and 85,736 is: 128,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,491.52 : 350,271.84 = 85,736 : x
  2. Step 2: Convert to fraction form
    233,491.52/350,271.84 = 85,736/x
  3. Step 3: Cross multiply
    233,491.52x = 350,271.84 × 85,736
  4. Step 4: Simplify right side
    233,491.52x = 30,030,906,474.24
  5. Step 5: Solve for x
    x = 30,030,906,474.24/233,491.52
  6. Step 6: Final answer
    x = 128,616.69

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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.