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Finding the Fourth Proportional to 176,728.50, 243,804.60 and 105,067.80

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Solution

The fourth proportional to 176,728.50, 243,804.60 and 105,067.80 is: 144,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,728.50 : 243,804.60 = 105,067.80 : x
  2. Step 2: Convert to fraction form
    176,728.50/243,804.60 = 105,067.80/x
  3. Step 3: Cross multiply
    176,728.50x = 243,804.60 × 105,067.80
  4. Step 4: Simplify right side
    176,728.50x = 25,616,012,951.88
  5. Step 5: Solve for x
    x = 25,616,012,951.88/176,728.50
  6. Step 6: Final answer
    x = 144,945.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.