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Finding the Fourth Proportional to 283,051.56, 424,563.42 and 105,544.68

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Solution

The fourth proportional to 283,051.56, 424,563.42 and 105,544.68 is: 158,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,051.56 : 424,563.42 = 105,544.68 : x
  2. Step 2: Convert to fraction form
    283,051.56/424,563.42 = 105,544.68/x
  3. Step 3: Cross multiply
    283,051.56x = 424,563.42 × 105,544.68
  4. Step 4: Simplify right side
    283,051.56x = 44,810,410,303.61
  5. Step 5: Solve for x
    x = 44,810,410,303.61/283,051.56
  6. Step 6: Final answer
    x = 158,311.83

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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.