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Finding the Fourth Proportional to 256,830.73, 354,419.57 and 142,106.38

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Solution

The fourth proportional to 256,830.73, 354,419.57 and 142,106.38 is: 196,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,830.73 : 354,419.57 = 142,106.38 : x
  2. Step 2: Convert to fraction form
    256,830.73/354,419.57 = 142,106.38/x
  3. Step 3: Cross multiply
    256,830.73x = 354,419.57 × 142,106.38
  4. Step 4: Simplify right side
    256,830.73x = 50,365,281,563.07
  5. Step 5: Solve for x
    x = 50,365,281,563.07/256,830.73
  6. Step 6: Final answer
    x = 196,103.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.