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Finding the Fourth Proportional to 257,436.87, 355,229.98 and 142,714.43

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Solution

The fourth proportional to 257,436.87, 355,229.98 and 142,714.43 is: 196,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436.87 : 355,229.98 = 142,714.43 : x
  2. Step 2: Convert to fraction form
    257,436.87/355,229.98 = 142,714.43/x
  3. Step 3: Cross multiply
    257,436.87x = 355,229.98 × 142,714.43
  4. Step 4: Simplify right side
    257,436.87x = 50,696,444,114.61
  5. Step 5: Solve for x
    x = 50,696,444,114.61/257,436.87
  6. Step 6: Final answer
    x = 196,927.67

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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.