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Finding the Fourth Proportional to 256,424.30, 384,707.55 and 106,735.10

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Solution

The fourth proportional to 256,424.30, 384,707.55 and 106,735.10 is: 160,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,424.30 : 384,707.55 = 106,735.10 : x
  2. Step 2: Convert to fraction form
    256,424.30/384,707.55 = 106,735.10/x
  3. Step 3: Cross multiply
    256,424.30x = 384,707.55 × 106,735.10
  4. Step 4: Simplify right side
    256,424.30x = 41,061,798,820.01
  5. Step 5: Solve for x
    x = 41,061,798,820.01/256,424.30
  6. Step 6: Final answer
    x = 160,132.24

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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.