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Finding the Fourth Proportional to 258,896.09, 357,092.57 and 172,811.67

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Solution

The fourth proportional to 258,896.09, 357,092.57 and 172,811.67 is: 238,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,896.09 : 357,092.57 = 172,811.67 : x
  2. Step 2: Convert to fraction form
    258,896.09/357,092.57 = 172,811.67/x
  3. Step 3: Cross multiply
    258,896.09x = 357,092.57 × 172,811.67
  4. Step 4: Simplify right side
    258,896.09x = 61,709,762,502.23
  5. Step 5: Solve for x
    x = 61,709,762,502.23/258,896.09
  6. Step 6: Final answer
    x = 238,357.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.