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Finding the Fourth Proportional to 256,059.40, 353,326.66 and 142,860.20

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Solution

The fourth proportional to 256,059.40, 353,326.66 and 142,860.20 is: 197,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,059.40 : 353,326.66 = 142,860.20 : x
  2. Step 2: Convert to fraction form
    256,059.40/353,326.66 = 142,860.20/x
  3. Step 3: Cross multiply
    256,059.40x = 353,326.66 × 142,860.20
  4. Step 4: Simplify right side
    256,059.40x = 50,476,317,312.93
  5. Step 5: Solve for x
    x = 50,476,317,312.93/256,059.40
  6. Step 6: Final answer
    x = 197,127.37

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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.