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Finding the Fourth Proportional to 199,537.59, 299,361.06 and 99,577.11

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Solution

The fourth proportional to 199,537.59, 299,361.06 and 99,577.11 is: 149,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,537.59 : 299,361.06 = 99,577.11 : x
  2. Step 2: Convert to fraction form
    199,537.59/299,361.06 = 99,577.11/x
  3. Step 3: Cross multiply
    199,537.59x = 299,361.06 × 99,577.11
  4. Step 4: Simplify right side
    199,537.59x = 29,809,509,201.34
  5. Step 5: Solve for x
    x = 29,809,509,201.34/199,537.59
  6. Step 6: Final answer
    x = 149,392.95

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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.