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Finding the Fourth Proportional to 238,432.20, 357,648.30 and 105,243.90

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Solution

The fourth proportional to 238,432.20, 357,648.30 and 105,243.90 is: 157,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,432.20 : 357,648.30 = 105,243.90 : x
  2. Step 2: Convert to fraction form
    238,432.20/357,648.30 = 105,243.90/x
  3. Step 3: Cross multiply
    238,432.20x = 357,648.30 × 105,243.90
  4. Step 4: Simplify right side
    238,432.20x = 37,640,301,920.37
  5. Step 5: Solve for x
    x = 37,640,301,920.37/238,432.20
  6. Step 6: Final answer
    x = 157,865.85

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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.