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Finding the Fourth Proportional to 172,586.25, 258,505.44 and 83,653.71

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Solution

The fourth proportional to 172,586.25, 258,505.44 and 83,653.71 is: 125,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,586.25 : 258,505.44 = 83,653.71 : x
  2. Step 2: Convert to fraction form
    172,586.25/258,505.44 = 83,653.71/x
  3. Step 3: Cross multiply
    172,586.25x = 258,505.44 × 83,653.71
  4. Step 4: Simplify right side
    172,586.25x = 21,624,939,111.18
  5. Step 5: Solve for x
    x = 21,624,939,111.18/172,586.25
  6. Step 6: Final answer
    x = 125,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.