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Finding the Fourth Proportional to 185,314.56, 277,917.31 and 84,054.03

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Solution

The fourth proportional to 185,314.56, 277,917.31 and 84,054.03 is: 126,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,314.56 : 277,917.31 = 84,054.03 : x
  2. Step 2: Convert to fraction form
    185,314.56/277,917.31 = 84,054.03/x
  3. Step 3: Cross multiply
    185,314.56x = 277,917.31 × 84,054.03
  4. Step 4: Simplify right side
    185,314.56x = 23,360,070,956.57
  5. Step 5: Solve for x
    x = 23,360,070,956.57/185,314.56
  6. Step 6: Final answer
    x = 126,056.32

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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.