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Finding the Fourth Proportional to 233,874.46, 350,810.92 and 84,114.50

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Solution

The fourth proportional to 233,874.46, 350,810.92 and 84,114.50 is: 126,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874.46 : 350,810.92 = 84,114.50 : x
  2. Step 2: Convert to fraction form
    233,874.46/350,810.92 = 84,114.50/x
  3. Step 3: Cross multiply
    233,874.46x = 350,810.92 × 84,114.50
  4. Step 4: Simplify right side
    233,874.46x = 29,508,285,130.34
  5. Step 5: Solve for x
    x = 29,508,285,130.34/233,874.46
  6. Step 6: Final answer
    x = 126,171.47

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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.