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Finding the Fourth Proportional to 227,894.76, 341,832.24 and 70,116.48

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Solution

The fourth proportional to 227,894.76, 341,832.24 and 70,116.48 is: 105,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,894.76 : 341,832.24 = 70,116.48 : x
  2. Step 2: Convert to fraction form
    227,894.76/341,832.24 = 70,116.48/x
  3. Step 3: Cross multiply
    227,894.76x = 341,832.24 × 70,116.48
  4. Step 4: Simplify right side
    227,894.76x = 23,968,073,419.32
  5. Step 5: Solve for x
    x = 23,968,073,419.32/227,894.76
  6. Step 6: Final answer
    x = 105,171.67

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Why These Related Problems?

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