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Finding the Fourth Proportional to 178,008.99, 245,723.27 and 116,778.46

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Solution

The fourth proportional to 178,008.99, 245,723.27 and 116,778.46 is: 161,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.99 : 245,723.27 = 116,778.46 : x
  2. Step 2: Convert to fraction form
    178,008.99/245,723.27 = 116,778.46/x
  3. Step 3: Cross multiply
    178,008.99x = 245,723.27 × 116,778.46
  4. Step 4: Simplify right side
    178,008.99x = 28,695,183,858.56
  5. Step 5: Solve for x
    x = 28,695,183,858.56/178,008.99
  6. Step 6: Final answer
    x = 161,200.76

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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.