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Finding the Fourth Proportional to 119,042.34, 178,566.21 and 30,295.50

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Solution

The fourth proportional to 119,042.34, 178,566.21 and 30,295.50 is: 45,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,042.34 : 178,566.21 = 30,295.50 : x
  2. Step 2: Convert to fraction form
    119,042.34/178,566.21 = 30,295.50/x
  3. Step 3: Cross multiply
    119,042.34x = 178,566.21 × 30,295.50
  4. Step 4: Simplify right side
    119,042.34x = 5,409,752,615.06
  5. Step 5: Solve for x
    x = 5,409,752,615.06/119,042.34
  6. Step 6: Final answer
    x = 45,443.94

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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.