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Finding the Fourth Proportional to 214,809.20, 322,116.60 and 96,419.60

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Solution

The fourth proportional to 214,809.20, 322,116.60 and 96,419.60 is: 144,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,809.20 : 322,116.60 = 96,419.60 : x
  2. Step 2: Convert to fraction form
    214,809.20/322,116.60 = 96,419.60/x
  3. Step 3: Cross multiply
    214,809.20x = 322,116.60 × 96,419.60
  4. Step 4: Simplify right side
    214,809.20x = 31,058,353,725.36
  5. Step 5: Solve for x
    x = 31,058,353,725.36/214,809.20
  6. Step 6: Final answer
    x = 144,585.77

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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.