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Finding the Fourth Proportional to 185,092.72, 255,428.08 and 100,209.84

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Solution

The fourth proportional to 185,092.72, 255,428.08 and 100,209.84 is: 138,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,092.72 : 255,428.08 = 100,209.84 : x
  2. Step 2: Convert to fraction form
    185,092.72/255,428.08 = 100,209.84/x
  3. Step 3: Cross multiply
    185,092.72x = 255,428.08 × 100,209.84
  4. Step 4: Simplify right side
    185,092.72x = 25,596,407,028.31
  5. Step 5: Solve for x
    x = 25,596,407,028.31/185,092.72
  6. Step 6: Final answer
    x = 138,289.65

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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.