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Finding the Fourth Proportional to 185,786, 256,388.12 and 105,213.28

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Solution

The fourth proportional to 185,786, 256,388.12 and 105,213.28 is: 145,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,786 : 256,388.12 = 105,213.28 : x
  2. Step 2: Convert to fraction form
    185,786/256,388.12 = 105,213.28/x
  3. Step 3: Cross multiply
    185,786x = 256,388.12 × 105,213.28
  4. Step 4: Simplify right side
    185,786x = 26,975,435,058.23
  5. Step 5: Solve for x
    x = 26,975,435,058.23/185,786
  6. Step 6: Final answer
    x = 145,196.27

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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.