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Finding the Fourth Proportional to 257,171.76, 354,865.08 and 143,976.24

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Solution

The fourth proportional to 257,171.76, 354,865.08 and 143,976.24 is: 198,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,171.76 : 354,865.08 = 143,976.24 : x
  2. Step 2: Convert to fraction form
    257,171.76/354,865.08 = 143,976.24/x
  3. Step 3: Cross multiply
    257,171.76x = 354,865.08 × 143,976.24
  4. Step 4: Simplify right side
    257,171.76x = 51,092,139,925.70
  5. Step 5: Solve for x
    x = 51,092,139,925.70/257,171.76
  6. Step 6: Final answer
    x = 198,669.32

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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.