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Finding the Fourth Proportional to 258,030, 386,945.46 and 100,237.68

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Solution

The fourth proportional to 258,030, 386,945.46 and 100,237.68 is: 150,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,030 : 386,945.46 = 100,237.68 : x
  2. Step 2: Convert to fraction form
    258,030/386,945.46 = 100,237.68/x
  3. Step 3: Cross multiply
    258,030x = 386,945.46 × 100,237.68
  4. Step 4: Simplify right side
    258,030x = 38,786,515,196.93
  5. Step 5: Solve for x
    x = 38,786,515,196.93/258,030
  6. Step 6: Final answer
    x = 150,317.85

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