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Finding the Fourth Proportional to 256,576.41, 354,066.39 and 141,848.01

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Solution

The fourth proportional to 256,576.41, 354,066.39 and 141,848.01 is: 195,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,576.41 : 354,066.39 = 141,848.01 : x
  2. Step 2: Convert to fraction form
    256,576.41/354,066.39 = 141,848.01/x
  3. Step 3: Cross multiply
    256,576.41x = 354,066.39 × 141,848.01
  4. Step 4: Simplify right side
    256,576.41x = 50,223,612,829.38
  5. Step 5: Solve for x
    x = 50,223,612,829.38/256,576.41
  6. Step 6: Final answer
    x = 195,745.25

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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.