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Finding the Fourth Proportional to 119,157.39, 164,438.33 and 65,443.50

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Solution

The fourth proportional to 119,157.39, 164,438.33 and 65,443.50 is: 90,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157.39 : 164,438.33 = 65,443.50 : x
  2. Step 2: Convert to fraction form
    119,157.39/164,438.33 = 65,443.50/x
  3. Step 3: Cross multiply
    119,157.39x = 164,438.33 × 65,443.50
  4. Step 4: Simplify right side
    119,157.39x = 10,761,419,522.14
  5. Step 5: Solve for x
    x = 10,761,419,522.14/119,157.39
  6. Step 6: Final answer
    x = 90,312.65

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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.