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Finding the Fourth Proportional to 257,152.56, 354,868.20 and 143,977.20

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Solution

The fourth proportional to 257,152.56, 354,868.20 and 143,977.20 is: 198,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,152.56 : 354,868.20 = 143,977.20 : x
  2. Step 2: Convert to fraction form
    257,152.56/354,868.20 = 143,977.20/x
  3. Step 3: Cross multiply
    257,152.56x = 354,868.20 × 143,977.20
  4. Step 4: Simplify right side
    257,152.56x = 51,092,929,805.04
  5. Step 5: Solve for x
    x = 51,092,929,805.04/257,152.56
  6. Step 6: Final answer
    x = 198,687.23

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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.