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Finding the Fourth Proportional to 295,661.30, 443,405.55 and 106,099.70

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Solution

The fourth proportional to 295,661.30, 443,405.55 and 106,099.70 is: 159,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,661.30 : 443,405.55 = 106,099.70 : x
  2. Step 2: Convert to fraction form
    295,661.30/443,405.55 = 106,099.70/x
  3. Step 3: Cross multiply
    295,661.30x = 443,405.55 × 106,099.70
  4. Step 4: Simplify right side
    295,661.30x = 47,045,195,833.34
  5. Step 5: Solve for x
    x = 47,045,195,833.34/295,661.30
  6. Step 6: Final answer
    x = 159,118.54

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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.