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Finding the Fourth Proportional to 185,809.89, 256,419 and 100,926.99

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Solution

The fourth proportional to 185,809.89, 256,419 and 100,926.99 is: 139,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,809.89 : 256,419 = 100,926.99 : x
  2. Step 2: Convert to fraction form
    185,809.89/256,419 = 100,926.99/x
  3. Step 3: Cross multiply
    185,809.89x = 256,419 × 100,926.99
  4. Step 4: Simplify right side
    185,809.89x = 25,879,597,848.81
  5. Step 5: Solve for x
    x = 25,879,597,848.81/185,809.89
  6. Step 6: Final answer
    x = 139,279.98

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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.