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Finding the Fourth Proportional to 185,592.14, 256,117.85 and 100,709.21

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Solution

The fourth proportional to 185,592.14, 256,117.85 and 100,709.21 is: 138,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,592.14 : 256,117.85 = 100,709.21 : x
  2. Step 2: Convert to fraction form
    185,592.14/256,117.85 = 100,709.21/x
  3. Step 3: Cross multiply
    185,592.14x = 256,117.85 × 100,709.21
  4. Step 4: Simplify right side
    185,592.14x = 25,793,424,556.26
  5. Step 5: Solve for x
    x = 25,793,424,556.26/185,592.14
  6. Step 6: Final answer
    x = 138,979.08

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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.