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Finding the Fourth Proportional to 256,599.12, 354,092.43 and 141,871.08

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Solution

The fourth proportional to 256,599.12, 354,092.43 and 141,871.08 is: 195,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,599.12 : 354,092.43 = 141,871.08 : x
  2. Step 2: Convert to fraction form
    256,599.12/354,092.43 = 141,871.08/x
  3. Step 3: Cross multiply
    256,599.12x = 354,092.43 × 141,871.08
  4. Step 4: Simplify right side
    256,599.12x = 50,235,475,463.92
  5. Step 5: Solve for x
    x = 50,235,475,463.92/256,599.12
  6. Step 6: Final answer
    x = 195,774.15

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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.