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Finding the Fourth Proportional to 176,311, 263,881.68 and 160,552.48

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Solution

The fourth proportional to 176,311, 263,881.68 and 160,552.48 is: 240,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,311 : 263,881.68 = 160,552.48 : x
  2. Step 2: Convert to fraction form
    176,311/263,881.68 = 160,552.48/x
  3. Step 3: Cross multiply
    176,311x = 263,881.68 × 160,552.48
  4. Step 4: Simplify right side
    176,311x = 42,366,858,150.57
  5. Step 5: Solve for x
    x = 42,366,858,150.57/176,311
  6. Step 6: Final answer
    x = 240,296.17

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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.