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Finding the Fourth Proportional to 496,107.96, 744,157.08 and 141,075.24

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Solution

The fourth proportional to 496,107.96, 744,157.08 and 141,075.24 is: 211,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,107.96 : 744,157.08 = 141,075.24 : x
  2. Step 2: Convert to fraction form
    496,107.96/744,157.08 = 141,075.24/x
  3. Step 3: Cross multiply
    496,107.96x = 744,157.08 × 141,075.24
  4. Step 4: Simplify right side
    496,107.96x = 104,982,138,658.70
  5. Step 5: Solve for x
    x = 104,982,138,658.70/496,107.96
  6. Step 6: Final answer
    x = 211,611.48

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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.