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Finding the Fourth Proportional to 180,003.90, 269,314.65 and 117,795.90

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Solution

The fourth proportional to 180,003.90, 269,314.65 and 117,795.90 is: 176,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.90 : 269,314.65 = 117,795.90 : x
  2. Step 2: Convert to fraction form
    180,003.90/269,314.65 = 117,795.90/x
  3. Step 3: Cross multiply
    180,003.90x = 269,314.65 × 117,795.90
  4. Step 4: Simplify right side
    180,003.90x = 31,724,161,579.94
  5. Step 5: Solve for x
    x = 31,724,161,579.94/180,003.90
  6. Step 6: Final answer
    x = 176,241.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.