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Finding the Fourth Proportional to 111,920, 154,460.70 and 83,576.48

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Solution

The fourth proportional to 111,920, 154,460.70 and 83,576.48 is: 115,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,920 : 154,460.70 = 83,576.48 : x
  2. Step 2: Convert to fraction form
    111,920/154,460.70 = 83,576.48/x
  3. Step 3: Cross multiply
    111,920x = 154,460.70 × 83,576.48
  4. Step 4: Simplify right side
    111,920x = 12,909,281,604.34
  5. Step 5: Solve for x
    x = 12,909,281,604.34/111,920
  6. Step 6: Final answer
    x = 115,343.83

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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.