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Finding the Fourth Proportional to 238,174.20, 357,316.50 and 105,092.28

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Solution

The fourth proportional to 238,174.20, 357,316.50 and 105,092.28 is: 157,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,174.20 : 357,316.50 = 105,092.28 : x
  2. Step 2: Convert to fraction form
    238,174.20/357,316.50 = 105,092.28/x
  3. Step 3: Cross multiply
    238,174.20x = 357,316.50 × 105,092.28
  4. Step 4: Simplify right side
    238,174.20x = 37,551,205,666.62
  5. Step 5: Solve for x
    x = 37,551,205,666.62/238,174.20
  6. Step 6: Final answer
    x = 157,662.78

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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.