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Finding the Fourth Proportional to 238,428.54, 357,734.52 and 105,214.68

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Solution

The fourth proportional to 238,428.54, 357,734.52 and 105,214.68 is: 157,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,428.54 : 357,734.52 = 105,214.68 : x
  2. Step 2: Convert to fraction form
    238,428.54/357,734.52 = 105,214.68/x
  3. Step 3: Cross multiply
    238,428.54x = 357,734.52 × 105,214.68
  4. Step 4: Simplify right side
    238,428.54x = 37,638,923,046.75
  5. Step 5: Solve for x
    x = 37,638,923,046.75/238,428.54
  6. Step 6: Final answer
    x = 157,862.49

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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.