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Finding the Fourth Proportional to 185,786.98, 256,386.53 and 109,308.96

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Solution

The fourth proportional to 185,786.98, 256,386.53 and 109,308.96 is: 150,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,786.98 : 256,386.53 = 109,308.96 : x
  2. Step 2: Convert to fraction form
    185,786.98/256,386.53 = 109,308.96/x
  3. Step 3: Cross multiply
    185,786.98x = 256,386.53 × 109,308.96
  4. Step 4: Simplify right side
    185,786.98x = 28,025,344,952.31
  5. Step 5: Solve for x
    x = 28,025,344,952.31/185,786.98
  6. Step 6: Final answer
    x = 150,846.66

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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.