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Finding the Fourth Proportional to 135,098.09, 202,649.93 and 41,603.75

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Solution

The fourth proportional to 135,098.09, 202,649.93 and 41,603.75 is: 62,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,098.09 : 202,649.93 = 41,603.75 : x
  2. Step 2: Convert to fraction form
    135,098.09/202,649.93 = 41,603.75/x
  3. Step 3: Cross multiply
    135,098.09x = 202,649.93 × 41,603.75
  4. Step 4: Simplify right side
    135,098.09x = 8,430,997,025.24
  5. Step 5: Solve for x
    x = 8,430,997,025.24/135,098.09
  6. Step 6: Final answer
    x = 62,406.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.