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Finding the Fourth Proportional to 118,129.50, 177,194.25 and 30,577.50

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Solution

The fourth proportional to 118,129.50, 177,194.25 and 30,577.50 is: 45,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,129.50 : 177,194.25 = 30,577.50 : x
  2. Step 2: Convert to fraction form
    118,129.50/177,194.25 = 30,577.50/x
  3. Step 3: Cross multiply
    118,129.50x = 177,194.25 × 30,577.50
  4. Step 4: Simplify right side
    118,129.50x = 5,418,157,179.38
  5. Step 5: Solve for x
    x = 5,418,157,179.38/118,129.50
  6. Step 6: Final answer
    x = 45,866.25

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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.