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Finding the Fourth Proportional to 214,782.80, 322,020.60 and 96,357.20

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Solution

The fourth proportional to 214,782.80, 322,020.60 and 96,357.20 is: 144,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,782.80 : 322,020.60 = 96,357.20 : x
  2. Step 2: Convert to fraction form
    214,782.80/322,020.60 = 96,357.20/x
  3. Step 3: Cross multiply
    214,782.80x = 322,020.60 × 96,357.20
  4. Step 4: Simplify right side
    214,782.80x = 31,029,003,358.32
  5. Step 5: Solve for x
    x = 31,029,003,358.32/214,782.80
  6. Step 6: Final answer
    x = 144,466.89

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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.