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Finding the Fourth Proportional to 120,896.19, 166,788 and 73,066.50

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Solution

The fourth proportional to 120,896.19, 166,788 and 73,066.50 is: 100,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,896.19 : 166,788 = 73,066.50 : x
  2. Step 2: Convert to fraction form
    120,896.19/166,788 = 73,066.50/x
  3. Step 3: Cross multiply
    120,896.19x = 166,788 × 73,066.50
  4. Step 4: Simplify right side
    120,896.19x = 12,186,615,402
  5. Step 5: Solve for x
    x = 12,186,615,402/120,896.19
  6. Step 6: Final answer
    x = 100,802.31

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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.