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Finding the Fourth Proportional to 213,057.95, 294,011.37 and 117,563.40

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Solution

The fourth proportional to 213,057.95, 294,011.37 and 117,563.40 is: 162,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057.95 : 294,011.37 = 117,563.40 : x
  2. Step 2: Convert to fraction form
    213,057.95/294,011.37 = 117,563.40/x
  3. Step 3: Cross multiply
    213,057.95x = 294,011.37 × 117,563.40
  4. Step 4: Simplify right side
    213,057.95x = 34,564,976,295.86
  5. Step 5: Solve for x
    x = 34,564,976,295.86/213,057.95
  6. Step 6: Final answer
    x = 162,232.75

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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.