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Finding the Fourth Proportional to 213,858.88, 294,821.03 and 145,788.50

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Solution

The fourth proportional to 213,858.88, 294,821.03 and 145,788.50 is: 200,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,858.88 : 294,821.03 = 145,788.50 : x
  2. Step 2: Convert to fraction form
    213,858.88/294,821.03 = 145,788.50/x
  3. Step 3: Cross multiply
    213,858.88x = 294,821.03 × 145,788.50
  4. Step 4: Simplify right side
    213,858.88x = 42,981,516,833.68
  5. Step 5: Solve for x
    x = 42,981,516,833.68/213,858.88
  6. Step 6: Final answer
    x = 200,980.75

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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.