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Finding the Fourth Proportional to 299,534.68, 449,271.24 and 99,833.50

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Solution

The fourth proportional to 299,534.68, 449,271.24 and 99,833.50 is: 149,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534.68 : 449,271.24 = 99,833.50 : x
  2. Step 2: Convert to fraction form
    299,534.68/449,271.24 = 99,833.50/x
  3. Step 3: Cross multiply
    299,534.68x = 449,271.24 × 99,833.50
  4. Step 4: Simplify right side
    299,534.68x = 44,852,320,338.54
  5. Step 5: Solve for x
    x = 44,852,320,338.54/299,534.68
  6. Step 6: Final answer
    x = 149,739.99

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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.