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Finding the Fourth Proportional to 225,424.80, 337,893.12 and 146,595.60

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Solution

The fourth proportional to 225,424.80, 337,893.12 and 146,595.60 is: 219,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,424.80 : 337,893.12 = 146,595.60 : x
  2. Step 2: Convert to fraction form
    225,424.80/337,893.12 = 146,595.60/x
  3. Step 3: Cross multiply
    225,424.80x = 337,893.12 × 146,595.60
  4. Step 4: Simplify right side
    225,424.80x = 49,533,644,662.27
  5. Step 5: Solve for x
    x = 49,533,644,662.27/225,424.80
  6. Step 6: Final answer
    x = 219,734.67

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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.