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Finding the Fourth Proportional to 213,862.30, 295,203.71 and 123,254.44

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Solution

The fourth proportional to 213,862.30, 295,203.71 and 123,254.44 is: 170,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,862.30 : 295,203.71 = 123,254.44 : x
  2. Step 2: Convert to fraction form
    213,862.30/295,203.71 = 123,254.44/x
  3. Step 3: Cross multiply
    213,862.30x = 295,203.71 × 123,254.44
  4. Step 4: Simplify right side
    213,862.30x = 36,385,167,961.97
  5. Step 5: Solve for x
    x = 36,385,167,961.97/213,862.30
  6. Step 6: Final answer
    x = 170,133.62

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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.