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Finding the Fourth Proportional to 137,353.57, 189,538.88 and 76,910.36

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Solution

The fourth proportional to 137,353.57, 189,538.88 and 76,910.36 is: 106,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.57 : 189,538.88 = 76,910.36 : x
  2. Step 2: Convert to fraction form
    137,353.57/189,538.88 = 76,910.36/x
  3. Step 3: Cross multiply
    137,353.57x = 189,538.88 × 76,910.36
  4. Step 4: Simplify right side
    137,353.57x = 14,577,502,162.55
  5. Step 5: Solve for x
    x = 14,577,502,162.55/137,353.57
  6. Step 6: Final answer
    x = 106,131.22

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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.