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Finding the Fourth Proportional to 213,686.32, 294,861.24 and 118,180

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Solution

The fourth proportional to 213,686.32, 294,861.24 and 118,180 is: 163,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,686.32 : 294,861.24 = 118,180 : x
  2. Step 2: Convert to fraction form
    213,686.32/294,861.24 = 118,180/x
  3. Step 3: Cross multiply
    213,686.32x = 294,861.24 × 118,180
  4. Step 4: Simplify right side
    213,686.32x = 34,846,701,343.20
  5. Step 5: Solve for x
    x = 34,846,701,343.20/213,686.32
  6. Step 6: Final answer
    x = 163,074.09

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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.