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Finding the Fourth Proportional to 214,970.40, 322,455.60 and 165,301.20

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Solution

The fourth proportional to 214,970.40, 322,455.60 and 165,301.20 is: 247,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.40 : 322,455.60 = 165,301.20 : x
  2. Step 2: Convert to fraction form
    214,970.40/322,455.60 = 165,301.20/x
  3. Step 3: Cross multiply
    214,970.40x = 322,455.60 × 165,301.20
  4. Step 4: Simplify right side
    214,970.40x = 53,302,297,626.72
  5. Step 5: Solve for x
    x = 53,302,297,626.72/214,970.40
  6. Step 6: Final answer
    x = 247,951.80

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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.