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Finding the Fourth Proportional to 119,158.08, 178,352.88 and 65,766

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Solution

The fourth proportional to 119,158.08, 178,352.88 and 65,766 is: 98,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.08 : 178,352.88 = 65,766 : x
  2. Step 2: Convert to fraction form
    119,158.08/178,352.88 = 65,766/x
  3. Step 3: Cross multiply
    119,158.08x = 178,352.88 × 65,766
  4. Step 4: Simplify right side
    119,158.08x = 11,729,555,506.08
  5. Step 5: Solve for x
    x = 11,729,555,506.08/119,158.08
  6. Step 6: Final answer
    x = 98,436.93

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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.