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Finding the Fourth Proportional to 256,002.75, 353,416.61 and 187,014.75

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Solution

The fourth proportional to 256,002.75, 353,416.61 and 187,014.75 is: 258,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.75 : 353,416.61 = 187,014.75 : x
  2. Step 2: Convert to fraction form
    256,002.75/353,416.61 = 187,014.75/x
  3. Step 3: Cross multiply
    256,002.75x = 353,416.61 × 187,014.75
  4. Step 4: Simplify right side
    256,002.75x = 66,094,118,029.92
  5. Step 5: Solve for x
    x = 66,094,118,029.92/256,002.75
  6. Step 6: Final answer
    x = 258,177.38

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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.