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Finding the Fourth Proportional to 119,356.49, 164,708.17 and 65,641.34

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Solution

The fourth proportional to 119,356.49, 164,708.17 and 65,641.34 is: 90,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,356.49 : 164,708.17 = 65,641.34 : x
  2. Step 2: Convert to fraction form
    119,356.49/164,708.17 = 65,641.34/x
  3. Step 3: Cross multiply
    119,356.49x = 164,708.17 × 65,641.34
  4. Step 4: Simplify right side
    119,356.49x = 10,811,664,987.75
  5. Step 5: Solve for x
    x = 10,811,664,987.75/119,356.49
  6. Step 6: Final answer
    x = 90,582.97

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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.