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Finding the Fourth Proportional to 256,039.60, 353,334.52 and 142,862.28

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Solution

The fourth proportional to 256,039.60, 353,334.52 and 142,862.28 is: 197,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,039.60 : 353,334.52 = 142,862.28 : x
  2. Step 2: Convert to fraction form
    256,039.60/353,334.52 = 142,862.28/x
  3. Step 3: Cross multiply
    256,039.60x = 353,334.52 × 142,862.28
  4. Step 4: Simplify right side
    256,039.60x = 50,478,175,129.91
  5. Step 5: Solve for x
    x = 50,478,175,129.91/256,039.60
  6. Step 6: Final answer
    x = 197,149.87

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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.