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Finding the Fourth Proportional to 256,056.54, 353,305.26 and 147,139.83

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Solution

The fourth proportional to 256,056.54, 353,305.26 and 147,139.83 is: 203,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056.54 : 353,305.26 = 147,139.83 : x
  2. Step 2: Convert to fraction form
    256,056.54/353,305.26 = 147,139.83/x
  3. Step 3: Cross multiply
    256,056.54x = 353,305.26 × 147,139.83
  4. Step 4: Simplify right side
    256,056.54x = 51,985,275,894.51
  5. Step 5: Solve for x
    x = 51,985,275,894.51/256,056.54
  6. Step 6: Final answer
    x = 203,022.64

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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.