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Finding the Fourth Proportional to 149,198.10, 205,775.01 and 105,513.45

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Solution

The fourth proportional to 149,198.10, 205,775.01 and 105,513.45 is: 145,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,198.10 : 205,775.01 = 105,513.45 : x
  2. Step 2: Convert to fraction form
    149,198.10/205,775.01 = 105,513.45/x
  3. Step 3: Cross multiply
    149,198.10x = 205,775.01 × 105,513.45
  4. Step 4: Simplify right side
    149,198.10x = 21,712,031,228.88
  5. Step 5: Solve for x
    x = 21,712,031,228.88/149,198.10
  6. Step 6: Final answer
    x = 145,524.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.