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Finding the Fourth Proportional to 184,989.82, 255,285.95 and 100,106.88

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Solution

The fourth proportional to 184,989.82, 255,285.95 and 100,106.88 is: 138,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,989.82 : 255,285.95 = 100,106.88 : x
  2. Step 2: Convert to fraction form
    184,989.82/255,285.95 = 100,106.88/x
  3. Step 3: Cross multiply
    184,989.82x = 255,285.95 × 100,106.88
  4. Step 4: Simplify right side
    184,989.82x = 25,555,881,169.93
  5. Step 5: Solve for x
    x = 25,555,881,169.93/184,989.82
  6. Step 6: Final answer
    x = 138,147.50

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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.