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Finding the Fourth Proportional to 119,106.36, 164,371.01 and 65,395.49

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Solution

The fourth proportional to 119,106.36, 164,371.01 and 65,395.49 is: 90,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,106.36 : 164,371.01 = 65,395.49 : x
  2. Step 2: Convert to fraction form
    119,106.36/164,371.01 = 65,395.49/x
  3. Step 3: Cross multiply
    119,106.36x = 164,371.01 × 65,395.49
  4. Step 4: Simplify right side
    119,106.36x = 10,749,121,591.91
  5. Step 5: Solve for x
    x = 10,749,121,591.91/119,106.36
  6. Step 6: Final answer
    x = 90,248.09

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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.