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Finding the Fourth Proportional to 137,533.01, 189,796.28 and 80,212.14

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Solution

The fourth proportional to 137,533.01, 189,796.28 and 80,212.14 is: 110,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,533.01 : 189,796.28 = 80,212.14 : x
  2. Step 2: Convert to fraction form
    137,533.01/189,796.28 = 80,212.14/x
  3. Step 3: Cross multiply
    137,533.01x = 189,796.28 × 80,212.14
  4. Step 4: Simplify right side
    137,533.01x = 15,223,965,381.78
  5. Step 5: Solve for x
    x = 15,223,965,381.78/137,533.01
  6. Step 6: Final answer
    x = 110,693.18

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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.