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Finding the Fourth Proportional to 215,004.70, 322,409.85 and 96,615.10

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Solution

The fourth proportional to 215,004.70, 322,409.85 and 96,615.10 is: 144,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,004.70 : 322,409.85 = 96,615.10 : x
  2. Step 2: Convert to fraction form
    215,004.70/322,409.85 = 96,615.10/x
  3. Step 3: Cross multiply
    215,004.70x = 322,409.85 × 96,615.10
  4. Step 4: Simplify right side
    215,004.70x = 31,149,659,898.74
  5. Step 5: Solve for x
    x = 31,149,659,898.74/215,004.70
  6. Step 6: Final answer
    x = 144,878.97

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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.