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Finding the Fourth Proportional to 256,059.20, 353,308.93 and 147,142.50

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Solution

The fourth proportional to 256,059.20, 353,308.93 and 147,142.50 is: 203,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,059.20 : 353,308.93 = 147,142.50 : x
  2. Step 2: Convert to fraction form
    256,059.20/353,308.93 = 147,142.50/x
  3. Step 3: Cross multiply
    256,059.20x = 353,308.93 × 147,142.50
  4. Step 4: Simplify right side
    256,059.20x = 51,986,759,232.53
  5. Step 5: Solve for x
    x = 51,986,759,232.53/256,059.20
  6. Step 6: Final answer
    x = 203,026.33

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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.