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Finding the Fourth Proportional to 133,818, 184,668.84 and 74,202

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Solution

The fourth proportional to 133,818, 184,668.84 and 74,202 is: 102,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818 : 184,668.84 = 74,202 : x
  2. Step 2: Convert to fraction form
    133,818/184,668.84 = 74,202/x
  3. Step 3: Cross multiply
    133,818x = 184,668.84 × 74,202
  4. Step 4: Simplify right side
    133,818x = 13,702,797,265.68
  5. Step 5: Solve for x
    x = 13,702,797,265.68/133,818
  6. Step 6: Final answer
    x = 102,398.76

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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.