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Finding the Fourth Proportional to 256,603.23, 354,097.28 and 141,872.88

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Solution

The fourth proportional to 256,603.23, 354,097.28 and 141,872.88 is: 195,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.23 : 354,097.28 = 141,872.88 : x
  2. Step 2: Convert to fraction form
    256,603.23/354,097.28 = 141,872.88/x
  3. Step 3: Cross multiply
    256,603.23x = 354,097.28 × 141,872.88
  4. Step 4: Simplify right side
    256,603.23x = 50,236,800,204.40
  5. Step 5: Solve for x
    x = 50,236,800,204.40/256,603.23
  6. Step 6: Final answer
    x = 195,776.18

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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.