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Finding the Fourth Proportional to 233,994, 351,027.54 and 76,185.30

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Solution

The fourth proportional to 233,994, 351,027.54 and 76,185.30 is: 114,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,994 : 351,027.54 = 76,185.30 : x
  2. Step 2: Convert to fraction form
    233,994/351,027.54 = 76,185.30/x
  3. Step 3: Cross multiply
    233,994x = 351,027.54 × 76,185.30
  4. Step 4: Simplify right side
    233,994x = 26,743,138,443.16
  5. Step 5: Solve for x
    x = 26,743,138,443.16/233,994
  6. Step 6: Final answer
    x = 114,289.85

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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.