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Finding the Fourth Proportional to 213,254.42, 294,092.52 and 141,564.56

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Solution

The fourth proportional to 213,254.42, 294,092.52 and 141,564.56 is: 195,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,254.42 : 294,092.52 = 141,564.56 : x
  2. Step 2: Convert to fraction form
    213,254.42/294,092.52 = 141,564.56/x
  3. Step 3: Cross multiply
    213,254.42x = 294,092.52 × 141,564.56
  4. Step 4: Simplify right side
    213,254.42x = 41,633,078,193.09
  5. Step 5: Solve for x
    x = 41,633,078,193.09/213,254.42
  6. Step 6: Final answer
    x = 195,227.27

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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.