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Finding the Fourth Proportional to 122,135.30, 183,246.15 and 117,815.30

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Solution

The fourth proportional to 122,135.30, 183,246.15 and 117,815.30 is: 176,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,135.30 : 183,246.15 = 117,815.30 : x
  2. Step 2: Convert to fraction form
    122,135.30/183,246.15 = 117,815.30/x
  3. Step 3: Cross multiply
    122,135.30x = 183,246.15 × 117,815.30
  4. Step 4: Simplify right side
    122,135.30x = 21,589,200,136.10
  5. Step 5: Solve for x
    x = 21,589,200,136.10/122,135.30
  6. Step 6: Final answer
    x = 176,764.62

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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.