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Finding the Fourth Proportional to 180,663.58, 270,945.69 and 75,465.10

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Solution

The fourth proportional to 180,663.58, 270,945.69 and 75,465.10 is: 113,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,663.58 : 270,945.69 = 75,465.10 : x
  2. Step 2: Convert to fraction form
    180,663.58/270,945.69 = 75,465.10/x
  3. Step 3: Cross multiply
    180,663.58x = 270,945.69 × 75,465.10
  4. Step 4: Simplify right side
    180,663.58x = 20,446,943,590.42
  5. Step 5: Solve for x
    x = 20,446,943,590.42/180,663.58
  6. Step 6: Final answer
    x = 113,176.90

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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.