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Finding the Fourth Proportional to 256,825.38, 354,412.21 and 142,101.03

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Solution

The fourth proportional to 256,825.38, 354,412.21 and 142,101.03 is: 196,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,825.38 : 354,412.21 = 142,101.03 : x
  2. Step 2: Convert to fraction form
    256,825.38/354,412.21 = 142,101.03/x
  3. Step 3: Cross multiply
    256,825.38x = 354,412.21 × 142,101.03
  4. Step 4: Simplify right side
    256,825.38x = 50,362,341,325.81
  5. Step 5: Solve for x
    x = 50,362,341,325.81/256,825.38
  6. Step 6: Final answer
    x = 196,095.65

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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.