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Finding the Fourth Proportional to 201,028.41, 277,138.95 and 164,602.71

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Solution

The fourth proportional to 201,028.41, 277,138.95 and 164,602.71 is: 226,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,028.41 : 277,138.95 = 164,602.71 : x
  2. Step 2: Convert to fraction form
    201,028.41/277,138.95 = 164,602.71/x
  3. Step 3: Cross multiply
    201,028.41x = 277,138.95 × 164,602.71
  4. Step 4: Simplify right side
    201,028.41x = 45,617,822,216.55
  5. Step 5: Solve for x
    x = 45,617,822,216.55/201,028.41
  6. Step 6: Final answer
    x = 226,922.27

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Why These Related Problems?

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