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Finding the Fourth Proportional to 255,076.70, 382,658.52 and 105,234.99

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Solution

The fourth proportional to 255,076.70, 382,658.52 and 105,234.99 is: 157,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,076.70 : 382,658.52 = 105,234.99 : x
  2. Step 2: Convert to fraction form
    255,076.70/382,658.52 = 105,234.99/x
  3. Step 3: Cross multiply
    255,076.70x = 382,658.52 × 105,234.99
  4. Step 4: Simplify right side
    255,076.70x = 40,269,065,525.61
  5. Step 5: Solve for x
    x = 40,269,065,525.61/255,076.70
  6. Step 6: Final answer
    x = 157,870.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.