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Finding the Fourth Proportional to 185,809.23, 256,422.81 and 105,234.98

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Solution

The fourth proportional to 185,809.23, 256,422.81 and 105,234.98 is: 145,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,809.23 : 256,422.81 = 105,234.98 : x
  2. Step 2: Convert to fraction form
    185,809.23/256,422.81 = 105,234.98/x
  3. Step 3: Cross multiply
    185,809.23x = 256,422.81 × 105,234.98
  4. Step 4: Simplify right side
    185,809.23x = 26,984,649,281.89
  5. Step 5: Solve for x
    x = 26,984,649,281.89/185,809.23
  6. Step 6: Final answer
    x = 145,227.71

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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.