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Finding the Fourth Proportional to 185,645.94, 256,191.64 and 100,763

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Solution

The fourth proportional to 185,645.94, 256,191.64 and 100,763 is: 139,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,645.94 : 256,191.64 = 100,763 : x
  2. Step 2: Convert to fraction form
    185,645.94/256,191.64 = 100,763/x
  3. Step 3: Cross multiply
    185,645.94x = 256,191.64 × 100,763
  4. Step 4: Simplify right side
    185,645.94x = 25,814,638,221.32
  5. Step 5: Solve for x
    x = 25,814,638,221.32/185,645.94
  6. Step 6: Final answer
    x = 139,053.07

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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.