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Finding the Fourth Proportional to 178,708.40, 246,583.24 and 114,211.32

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Solution

The fourth proportional to 178,708.40, 246,583.24 and 114,211.32 is: 157,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,708.40 : 246,583.24 = 114,211.32 : x
  2. Step 2: Convert to fraction form
    178,708.40/246,583.24 = 114,211.32/x
  3. Step 3: Cross multiply
    178,708.40x = 246,583.24 × 114,211.32
  4. Step 4: Simplify right side
    178,708.40x = 28,162,597,330.28
  5. Step 5: Solve for x
    x = 28,162,597,330.28/178,708.40
  6. Step 6: Final answer
    x = 157,589.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.