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Finding the Fourth Proportional to 256,430.80, 384,717.30 and 106,741.60

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Solution

The fourth proportional to 256,430.80, 384,717.30 and 106,741.60 is: 160,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430.80 : 384,717.30 = 106,741.60 : x
  2. Step 2: Convert to fraction form
    256,430.80/384,717.30 = 106,741.60/x
  3. Step 3: Cross multiply
    256,430.80x = 384,717.30 × 106,741.60
  4. Step 4: Simplify right side
    256,430.80x = 41,065,340,149.68
  5. Step 5: Solve for x
    x = 41,065,340,149.68/256,430.80
  6. Step 6: Final answer
    x = 160,142.00

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Why These Related Problems?

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