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Finding the Fourth Proportional to 180,003.40, 269,313.90 and 117,795.40

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Solution

The fourth proportional to 180,003.40, 269,313.90 and 117,795.40 is: 176,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.40 : 269,313.90 = 117,795.40 : x
  2. Step 2: Convert to fraction form
    180,003.40/269,313.90 = 117,795.40/x
  3. Step 3: Cross multiply
    180,003.40x = 269,313.90 × 117,795.40
  4. Step 4: Simplify right side
    180,003.40x = 31,723,938,576.06
  5. Step 5: Solve for x
    x = 31,723,938,576.06/180,003.40
  6. Step 6: Final answer
    x = 176,240.77

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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.