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Finding the Fourth Proportional to 213,471.52, 294,248.40 and 144,539.20

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Solution

The fourth proportional to 213,471.52, 294,248.40 and 144,539.20 is: 199,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.52 : 294,248.40 = 144,539.20 : x
  2. Step 2: Convert to fraction form
    213,471.52/294,248.40 = 144,539.20/x
  3. Step 3: Cross multiply
    213,471.52x = 294,248.40 × 144,539.20
  4. Step 4: Simplify right side
    213,471.52x = 42,530,428,337.28
  5. Step 5: Solve for x
    x = 42,530,428,337.28/213,471.52
  6. Step 6: Final answer
    x = 199,232.33

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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.