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Finding the Fourth Proportional to 257,200.29, 354,932.57 and 142,478.58

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Solution

The fourth proportional to 257,200.29, 354,932.57 and 142,478.58 is: 196,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.29 : 354,932.57 = 142,478.58 : x
  2. Step 2: Convert to fraction form
    257,200.29/354,932.57 = 142,478.58/x
  3. Step 3: Cross multiply
    257,200.29x = 354,932.57 × 142,478.58
  4. Step 4: Simplify right side
    257,200.29x = 50,570,287,856.96
  5. Step 5: Solve for x
    x = 50,570,287,856.96/257,200.29
  6. Step 6: Final answer
    x = 196,618.32

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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.