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Finding the Fourth Proportional to 199,537.84, 299,361.44 and 99,577.36

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Solution

The fourth proportional to 199,537.84, 299,361.44 and 99,577.36 is: 149,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,537.84 : 299,361.44 = 99,577.36 : x
  2. Step 2: Convert to fraction form
    199,537.84/299,361.44 = 99,577.36/x
  3. Step 3: Cross multiply
    199,537.84x = 299,361.44 × 99,577.36
  4. Step 4: Simplify right side
    199,537.84x = 29,809,621,881.00
  5. Step 5: Solve for x
    x = 29,809,621,881.00/199,537.84
  6. Step 6: Final answer
    x = 149,393.33

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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.