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Finding the Fourth Proportional to 328,099.50, 492,149.25 and 106,483.50

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Solution

The fourth proportional to 328,099.50, 492,149.25 and 106,483.50 is: 159,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,099.50 : 492,149.25 = 106,483.50 : x
  2. Step 2: Convert to fraction form
    328,099.50/492,149.25 = 106,483.50/x
  3. Step 3: Cross multiply
    328,099.50x = 492,149.25 × 106,483.50
  4. Step 4: Simplify right side
    328,099.50x = 52,405,774,662.38
  5. Step 5: Solve for x
    x = 52,405,774,662.38/328,099.50
  6. Step 6: Final answer
    x = 159,725.25

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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.