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Finding the Fourth Proportional to 213,360.20, 294,432.84 and 117,866

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Solution

The fourth proportional to 213,360.20, 294,432.84 and 117,866 is: 162,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,360.20 : 294,432.84 = 117,866 : x
  2. Step 2: Convert to fraction form
    213,360.20/294,432.84 = 117,866/x
  3. Step 3: Cross multiply
    213,360.20x = 294,432.84 × 117,866
  4. Step 4: Simplify right side
    213,360.20x = 34,703,621,119.44
  5. Step 5: Solve for x
    x = 34,703,621,119.44/213,360.20
  6. Step 6: Final answer
    x = 162,652.74

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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.