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Finding the Fourth Proportional to 214,967.80, 322,452.48 and 65,209.40

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Solution

The fourth proportional to 214,967.80, 322,452.48 and 65,209.40 is: 97,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.80 : 322,452.48 = 65,209.40 : x
  2. Step 2: Convert to fraction form
    214,967.80/322,452.48 = 65,209.40/x
  3. Step 3: Cross multiply
    214,967.80x = 322,452.48 × 65,209.40
  4. Step 4: Simplify right side
    214,967.80x = 21,026,932,749.31
  5. Step 5: Solve for x
    x = 21,026,932,749.31/214,967.80
  6. Step 6: Final answer
    x = 97,814.34

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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.