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Finding the Fourth Proportional to 213,056.64, 294,012.96 and 117,563.28

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Solution

The fourth proportional to 213,056.64, 294,012.96 and 117,563.28 is: 162,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,056.64 : 294,012.96 = 117,563.28 : x
  2. Step 2: Convert to fraction form
    213,056.64/294,012.96 = 117,563.28/x
  3. Step 3: Cross multiply
    213,056.64x = 294,012.96 × 117,563.28
  4. Step 4: Simplify right side
    213,056.64x = 34,565,127,940.11
  5. Step 5: Solve for x
    x = 34,565,127,940.11/213,056.64
  6. Step 6: Final answer
    x = 162,234.46

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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.