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Finding the Fourth Proportional to 166,980.88, 230,317.99 and 103,280.86

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Solution

The fourth proportional to 166,980.88, 230,317.99 and 103,280.86 is: 142,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,980.88 : 230,317.99 = 103,280.86 : x
  2. Step 2: Convert to fraction form
    166,980.88/230,317.99 = 103,280.86/x
  3. Step 3: Cross multiply
    166,980.88x = 230,317.99 × 103,280.86
  4. Step 4: Simplify right side
    166,980.88x = 23,787,440,080.67
  5. Step 5: Solve for x
    x = 23,787,440,080.67/166,980.88
  6. Step 6: Final answer
    x = 142,456.07

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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.