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Finding the Fourth Proportional to 135,441.92, 203,149.92 and 46,683.20

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Solution

The fourth proportional to 135,441.92, 203,149.92 and 46,683.20 is: 70,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,441.92 : 203,149.92 = 46,683.20 : x
  2. Step 2: Convert to fraction form
    135,441.92/203,149.92 = 46,683.20/x
  3. Step 3: Cross multiply
    135,441.92x = 203,149.92 × 46,683.20
  4. Step 4: Simplify right side
    135,441.92x = 9,483,688,345.34
  5. Step 5: Solve for x
    x = 9,483,688,345.34/135,441.92
  6. Step 6: Final answer
    x = 70,020.33

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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.