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Finding the Fourth Proportional to 233,893, 350,664.30 and 76,027.24

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Solution

The fourth proportional to 233,893, 350,664.30 and 76,027.24 is: 113,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893 : 350,664.30 = 76,027.24 : x
  2. Step 2: Convert to fraction form
    233,893/350,664.30 = 76,027.24/x
  3. Step 3: Cross multiply
    233,893x = 350,664.30 × 76,027.24
  4. Step 4: Simplify right side
    233,893x = 26,660,038,895.53
  5. Step 5: Solve for x
    x = 26,660,038,895.53/233,893
  6. Step 6: Final answer
    x = 113,983.91

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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.