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Finding the Fourth Proportional to 119,262.96, 178,917.12 and 40,356

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Solution

The fourth proportional to 119,262.96, 178,917.12 and 40,356 is: 60,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,262.96 : 178,917.12 = 40,356 : x
  2. Step 2: Convert to fraction form
    119,262.96/178,917.12 = 40,356/x
  3. Step 3: Cross multiply
    119,262.96x = 178,917.12 × 40,356
  4. Step 4: Simplify right side
    119,262.96x = 7,220,379,294.72
  5. Step 5: Solve for x
    x = 7,220,379,294.72/119,262.96
  6. Step 6: Final answer
    x = 60,541.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.