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Finding the Fourth Proportional to 137,546.72, 189,848.24 and 83,861.34

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Solution

The fourth proportional to 137,546.72, 189,848.24 and 83,861.34 is: 115,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,546.72 : 189,848.24 = 83,861.34 : x
  2. Step 2: Convert to fraction form
    137,546.72/189,848.24 = 83,861.34/x
  3. Step 3: Cross multiply
    137,546.72x = 189,848.24 × 83,861.34
  4. Step 4: Simplify right side
    137,546.72x = 15,920,927,803.04
  5. Step 5: Solve for x
    x = 15,920,927,803.04/137,546.72
  6. Step 6: Final answer
    x = 115,749.24

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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.