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Finding the Fourth Proportional to 216,383.80, 324,743.04 and 141,483.64

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Solution

The fourth proportional to 216,383.80, 324,743.04 and 141,483.64 is: 212,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,383.80 : 324,743.04 = 141,483.64 : x
  2. Step 2: Convert to fraction form
    216,383.80/324,743.04 = 141,483.64/x
  3. Step 3: Cross multiply
    216,383.80x = 324,743.04 × 141,483.64
  4. Step 4: Simplify right side
    216,383.80x = 45,945,827,363.87
  5. Step 5: Solve for x
    x = 45,945,827,363.87/216,383.80
  6. Step 6: Final answer
    x = 212,334.88

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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.