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Finding the Fourth Proportional to 119,016.76, 178,524.36 and 30,269.50

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Solution

The fourth proportional to 119,016.76, 178,524.36 and 30,269.50 is: 45,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016.76 : 178,524.36 = 30,269.50 : x
  2. Step 2: Convert to fraction form
    119,016.76/178,524.36 = 30,269.50/x
  3. Step 3: Cross multiply
    119,016.76x = 178,524.36 × 30,269.50
  4. Step 4: Simplify right side
    119,016.76x = 5,403,842,222.40
  5. Step 5: Solve for x
    x = 5,403,842,222.40/119,016.76
  6. Step 6: Final answer
    x = 45,404.05

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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.