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Finding the Fourth Proportional to 82,001.45, 122,783.48 and 82,001.45

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Solution

The fourth proportional to 82,001.45, 122,783.48 and 82,001.45 is: 122,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.45 : 122,783.48 = 82,001.45 : x
  2. Step 2: Convert to fraction form
    82,001.45/122,783.48 = 82,001.45/x
  3. Step 3: Cross multiply
    82,001.45x = 122,783.48 × 82,001.45
  4. Step 4: Simplify right side
    82,001.45x = 10,068,422,986.04
  5. Step 5: Solve for x
    x = 10,068,422,986.04/82,001.45
  6. Step 6: Final answer
    x = 122,783.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.