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Finding the Fourth Proportional to 180,567.66, 270,876.69 and 75,362.54

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Solution

The fourth proportional to 180,567.66, 270,876.69 and 75,362.54 is: 113,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,567.66 : 270,876.69 = 75,362.54 : x
  2. Step 2: Convert to fraction form
    180,567.66/270,876.69 = 75,362.54/x
  3. Step 3: Cross multiply
    180,567.66x = 270,876.69 × 75,362.54
  4. Step 4: Simplify right side
    180,567.66x = 20,413,955,385.19
  5. Step 5: Solve for x
    x = 20,413,955,385.19/180,567.66
  6. Step 6: Final answer
    x = 113,054.33

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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.