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Finding the Fourth Proportional to 119,086.34, 164,338.74 and 64,638.52

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Solution

The fourth proportional to 119,086.34, 164,338.74 and 64,638.52 is: 89,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,086.34 : 164,338.74 = 64,638.52 : x
  2. Step 2: Convert to fraction form
    119,086.34/164,338.74 = 64,638.52/x
  3. Step 3: Cross multiply
    119,086.34x = 164,338.74 × 64,638.52
  4. Step 4: Simplify right side
    119,086.34x = 10,622,612,932.26
  5. Step 5: Solve for x
    x = 10,622,612,932.26/119,086.34
  6. Step 6: Final answer
    x = 89,200.94

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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.