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Finding the Fourth Proportional to 184,909.48, 255,094 and 108,389.76

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Solution

The fourth proportional to 184,909.48, 255,094 and 108,389.76 is: 149,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,909.48 : 255,094 = 108,389.76 : x
  2. Step 2: Convert to fraction form
    184,909.48/255,094 = 108,389.76/x
  3. Step 3: Cross multiply
    184,909.48x = 255,094 × 108,389.76
  4. Step 4: Simplify right side
    184,909.48x = 27,649,577,437.44
  5. Step 5: Solve for x
    x = 27,649,577,437.44/184,909.48
  6. Step 6: Final answer
    x = 149,530.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.