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Finding the Fourth Proportional to 137,212.48, 189,383.04 and 80,641.60

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Solution

The fourth proportional to 137,212.48, 189,383.04 and 80,641.60 is: 111,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,212.48 : 189,383.04 = 80,641.60 : x
  2. Step 2: Convert to fraction form
    137,212.48/189,383.04 = 80,641.60/x
  3. Step 3: Cross multiply
    137,212.48x = 189,383.04 × 80,641.60
  4. Step 4: Simplify right side
    137,212.48x = 15,272,151,358.46
  5. Step 5: Solve for x
    x = 15,272,151,358.46/137,212.48
  6. Step 6: Final answer
    x = 111,302.93

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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.