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Finding the Fourth Proportional to 301,253.87, 415,734.44 and 165,285.35

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Solution

The fourth proportional to 301,253.87, 415,734.44 and 165,285.35 is: 228,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,253.87 : 415,734.44 = 165,285.35 : x
  2. Step 2: Convert to fraction form
    301,253.87/415,734.44 = 165,285.35/x
  3. Step 3: Cross multiply
    301,253.87x = 415,734.44 × 165,285.35
  4. Step 4: Simplify right side
    301,253.87x = 68,714,812,422.45
  5. Step 5: Solve for x
    x = 68,714,812,422.45/301,253.87
  6. Step 6: Final answer
    x = 228,096.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.