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Finding the Fourth Proportional to 230,274.88, 317,780 and 133,497.60

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Solution

The fourth proportional to 230,274.88, 317,780 and 133,497.60 is: 184,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,274.88 : 317,780 = 133,497.60 : x
  2. Step 2: Convert to fraction form
    230,274.88/317,780 = 133,497.60/x
  3. Step 3: Cross multiply
    230,274.88x = 317,780 × 133,497.60
  4. Step 4: Simplify right side
    230,274.88x = 42,422,867,328
  5. Step 5: Solve for x
    x = 42,422,867,328/230,274.88
  6. Step 6: Final answer
    x = 184,227.07

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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.