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Finding the Fourth Proportional to 185,665.50, 256,218.84 and 100,782.54

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Solution

The fourth proportional to 185,665.50, 256,218.84 and 100,782.54 is: 139,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,665.50 : 256,218.84 = 100,782.54 : x
  2. Step 2: Convert to fraction form
    185,665.50/256,218.84 = 100,782.54/x
  3. Step 3: Cross multiply
    185,665.50x = 256,218.84 × 100,782.54
  4. Step 4: Simplify right side
    185,665.50x = 25,822,385,491.05
  5. Step 5: Solve for x
    x = 25,822,385,491.05/185,665.50
  6. Step 6: Final answer
    x = 139,080.15

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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.