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Finding the Fourth Proportional to 185,775.96, 256,370.82 and 100,893

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Solution

The fourth proportional to 185,775.96, 256,370.82 and 100,893 is: 139,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,775.96 : 256,370.82 = 100,893 : x
  2. Step 2: Convert to fraction form
    185,775.96/256,370.82 = 100,893/x
  3. Step 3: Cross multiply
    185,775.96x = 256,370.82 × 100,893
  4. Step 4: Simplify right side
    185,775.96x = 25,866,021,142.26
  5. Step 5: Solve for x
    x = 25,866,021,142.26/185,775.96
  6. Step 6: Final answer
    x = 139,232.34

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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.