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Finding the Fourth Proportional to 119,205.41, 164,503.81 and 65,491.47

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Solution

The fourth proportional to 119,205.41, 164,503.81 and 65,491.47 is: 90,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205.41 : 164,503.81 = 65,491.47 : x
  2. Step 2: Convert to fraction form
    119,205.41/164,503.81 = 65,491.47/x
  3. Step 3: Cross multiply
    119,205.41x = 164,503.81 × 65,491.47
  4. Step 4: Simplify right side
    119,205.41x = 10,773,596,419.37
  5. Step 5: Solve for x
    x = 10,773,596,419.37/119,205.41
  6. Step 6: Final answer
    x = 90,378.42

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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.