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Finding the Fourth Proportional to 184,102.40, 275,764.80 and 164,403.20

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Solution

The fourth proportional to 184,102.40, 275,764.80 and 164,403.20 is: 246,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,102.40 : 275,764.80 = 164,403.20 : x
  2. Step 2: Convert to fraction form
    184,102.40/275,764.80 = 164,403.20/x
  3. Step 3: Cross multiply
    184,102.40x = 275,764.80 × 164,403.20
  4. Step 4: Simplify right side
    184,102.40x = 45,336,615,567.36
  5. Step 5: Solve for x
    x = 45,336,615,567.36/184,102.40
  6. Step 6: Final answer
    x = 246,257.60

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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.