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Finding the Fourth Proportional to 185,178.96, 255,546.48 and 100,295.76

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Solution

The fourth proportional to 185,178.96, 255,546.48 and 100,295.76 is: 138,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,178.96 : 255,546.48 = 100,295.76 : x
  2. Step 2: Convert to fraction form
    185,178.96/255,546.48 = 100,295.76/x
  3. Step 3: Cross multiply
    185,178.96x = 255,546.48 × 100,295.76
  4. Step 4: Simplify right side
    185,178.96x = 25,630,228,426.92
  5. Step 5: Solve for x
    x = 25,630,228,426.92/185,178.96
  6. Step 6: Final answer
    x = 138,407.89

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