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Finding the Fourth Proportional to 256,487.88, 353,971.59 and 141,764.07

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Solution

The fourth proportional to 256,487.88, 353,971.59 and 141,764.07 is: 195,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,487.88 : 353,971.59 = 141,764.07 : x
  2. Step 2: Convert to fraction form
    256,487.88/353,971.59 = 141,764.07/x
  3. Step 3: Cross multiply
    256,487.88x = 353,971.59 × 141,764.07
  4. Step 4: Simplify right side
    256,487.88x = 50,180,454,058.55
  5. Step 5: Solve for x
    x = 50,180,454,058.55/256,487.88
  6. Step 6: Final answer
    x = 195,644.54

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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.