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Finding the Fourth Proportional to 164,142.64, 226,572.24 and 102,101.44

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Solution

The fourth proportional to 164,142.64, 226,572.24 and 102,101.44 is: 140,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,142.64 : 226,572.24 = 102,101.44 : x
  2. Step 2: Convert to fraction form
    164,142.64/226,572.24 = 102,101.44/x
  3. Step 3: Cross multiply
    164,142.64x = 226,572.24 × 102,101.44
  4. Step 4: Simplify right side
    164,142.64x = 23,133,351,968.03
  5. Step 5: Solve for x
    x = 23,133,351,968.03/164,142.64
  6. Step 6: Final answer
    x = 140,934.45

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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.