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Finding the Fourth Proportional to 256,291.78, 353,681.25 and 141,578.32

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Solution

The fourth proportional to 256,291.78, 353,681.25 and 141,578.32 is: 195,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,291.78 : 353,681.25 = 141,578.32 : x
  2. Step 2: Convert to fraction form
    256,291.78/353,681.25 = 141,578.32/x
  3. Step 3: Cross multiply
    256,291.78x = 353,681.25 × 141,578.32
  4. Step 4: Simplify right side
    256,291.78x = 50,073,597,190.50
  5. Step 5: Solve for x
    x = 50,073,597,190.50/256,291.78
  6. Step 6: Final answer
    x = 195,377.30

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1.5x scale

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.