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Finding the Fourth Proportional to 262,903.20, 394,354.80 and 96,669.60

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Solution

The fourth proportional to 262,903.20, 394,354.80 and 96,669.60 is: 145,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,903.20 : 394,354.80 = 96,669.60 : x
  2. Step 2: Convert to fraction form
    262,903.20/394,354.80 = 96,669.60/x
  3. Step 3: Cross multiply
    262,903.20x = 394,354.80 × 96,669.60
  4. Step 4: Simplify right side
    262,903.20x = 38,122,120,774.08
  5. Step 5: Solve for x
    x = 38,122,120,774.08/262,903.20
  6. Step 6: Final answer
    x = 145,004.40

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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.