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Finding the Fourth Proportional to 171,650, 257,475.36 and 73,154

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Solution

The fourth proportional to 171,650, 257,475.36 and 73,154 is: 109,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,650 : 257,475.36 = 73,154 : x
  2. Step 2: Convert to fraction form
    171,650/257,475.36 = 73,154/x
  3. Step 3: Cross multiply
    171,650x = 257,475.36 × 73,154
  4. Step 4: Simplify right side
    171,650x = 18,835,352,485.44
  5. Step 5: Solve for x
    x = 18,835,352,485.44/171,650
  6. Step 6: Final answer
    x = 109,731.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.