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Finding the Fourth Proportional to 180,412.34, 248,969.67 and 97,626.32

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Solution

The fourth proportional to 180,412.34, 248,969.67 and 97,626.32 is: 134,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.34 : 248,969.67 = 97,626.32 : x
  2. Step 2: Convert to fraction form
    180,412.34/248,969.67 = 97,626.32/x
  3. Step 3: Cross multiply
    180,412.34x = 248,969.67 × 97,626.32
  4. Step 4: Simplify right side
    180,412.34x = 24,305,991,428.87
  5. Step 5: Solve for x
    x = 24,305,991,428.87/180,412.34
  6. Step 6: Final answer
    x = 134,724.67

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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.