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Finding the Fourth Proportional to 137,374.08, 189,580.32 and 76,944.48

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Solution

The fourth proportional to 137,374.08, 189,580.32 and 76,944.48 is: 106,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374.08 : 189,580.32 = 76,944.48 : x
  2. Step 2: Convert to fraction form
    137,374.08/189,580.32 = 76,944.48/x
  3. Step 3: Cross multiply
    137,374.08x = 189,580.32 × 76,944.48
  4. Step 4: Simplify right side
    137,374.08x = 14,587,159,140.63
  5. Step 5: Solve for x
    x = 14,587,159,140.63/137,374.08
  6. Step 6: Final answer
    x = 106,185.67

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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.