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Finding the Fourth Proportional to 133,501.10, 200,251.65 and 117,949.10

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Solution

The fourth proportional to 133,501.10, 200,251.65 and 117,949.10 is: 176,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,501.10 : 200,251.65 = 117,949.10 : x
  2. Step 2: Convert to fraction form
    133,501.10/200,251.65 = 117,949.10/x
  3. Step 3: Cross multiply
    133,501.10x = 200,251.65 × 117,949.10
  4. Step 4: Simplify right side
    133,501.10x = 23,619,501,891.02
  5. Step 5: Solve for x
    x = 23,619,501,891.02/133,501.10
  6. Step 6: Final answer
    x = 176,923.65

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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.