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Finding the Fourth Proportional to 134,660, 201,998.10 and 41,166.56

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Solution

The fourth proportional to 134,660, 201,998.10 and 41,166.56 is: 61,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,660 : 201,998.10 = 41,166.56 : x
  2. Step 2: Convert to fraction form
    134,660/201,998.10 = 41,166.56/x
  3. Step 3: Cross multiply
    134,660x = 201,998.10 × 41,166.56
  4. Step 4: Simplify right side
    134,660x = 8,315,566,903.54
  5. Step 5: Solve for x
    x = 8,315,566,903.54/134,660
  6. Step 6: Final answer
    x = 61,752.32

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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.