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Finding the Fourth Proportional to 283,219.58, 424,704.73 and 150,069.15

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Solution

The fourth proportional to 283,219.58, 424,704.73 and 150,069.15 is: 225,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.58 : 424,704.73 = 150,069.15 : x
  2. Step 2: Convert to fraction form
    283,219.58/424,704.73 = 150,069.15/x
  3. Step 3: Cross multiply
    283,219.58x = 424,704.73 × 150,069.15
  4. Step 4: Simplify right side
    283,219.58x = 63,735,075,864.26
  5. Step 5: Solve for x
    x = 63,735,075,864.26/283,219.58
  6. Step 6: Final answer
    x = 225,037.68

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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.