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Finding the Fourth Proportional to 207,896.60, 311,384.10 and 160,997.40

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Solution

The fourth proportional to 207,896.60, 311,384.10 and 160,997.40 is: 241,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896.60 : 311,384.10 = 160,997.40 : x
  2. Step 2: Convert to fraction form
    207,896.60/311,384.10 = 160,997.40/x
  3. Step 3: Cross multiply
    207,896.60x = 311,384.10 × 160,997.40
  4. Step 4: Simplify right side
    207,896.60x = 50,132,030,501.34
  5. Step 5: Solve for x
    x = 50,132,030,501.34/207,896.60
  6. Step 6: Final answer
    x = 241,139.25

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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.