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Finding the Fourth Proportional to 185,635.50, 256,243.50 and 110,184

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Solution

The fourth proportional to 185,635.50, 256,243.50 and 110,184 is: 152,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,635.50 : 256,243.50 = 110,184 : x
  2. Step 2: Convert to fraction form
    185,635.50/256,243.50 = 110,184/x
  3. Step 3: Cross multiply
    185,635.50x = 256,243.50 × 110,184
  4. Step 4: Simplify right side
    185,635.50x = 28,233,933,804
  5. Step 5: Solve for x
    x = 28,233,933,804/185,635.50
  6. Step 6: Final answer
    x = 152,093.40

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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.