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Finding the Fourth Proportional to 416,993.37, 625,253.07 and 164,136.81

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Solution

The fourth proportional to 416,993.37, 625,253.07 and 164,136.81 is: 246,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,993.37 : 625,253.07 = 164,136.81 : x
  2. Step 2: Convert to fraction form
    416,993.37/625,253.07 = 164,136.81/x
  3. Step 3: Cross multiply
    416,993.37x = 625,253.07 × 164,136.81
  4. Step 4: Simplify right side
    416,993.37x = 102,627,044,352.51
  5. Step 5: Solve for x
    x = 102,627,044,352.51/416,993.37
  6. Step 6: Final answer
    x = 246,111.93

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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.