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Finding the Fourth Proportional to 147,211, 203,151.22 and 80,143

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Solution

The fourth proportional to 147,211, 203,151.22 and 80,143 is: 110,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,211 : 203,151.22 = 80,143 : x
  2. Step 2: Convert to fraction form
    147,211/203,151.22 = 80,143/x
  3. Step 3: Cross multiply
    147,211x = 203,151.22 × 80,143
  4. Step 4: Simplify right side
    147,211x = 16,281,148,224.46
  5. Step 5: Solve for x
    x = 16,281,148,224.46/147,211
  6. Step 6: Final answer
    x = 110,597.36

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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.