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Finding the Fourth Proportional to 180,952.22, 249,843.48 and 120,665

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Solution

The fourth proportional to 180,952.22, 249,843.48 and 120,665 is: 166,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.22 : 249,843.48 = 120,665 : x
  2. Step 2: Convert to fraction form
    180,952.22/249,843.48 = 120,665/x
  3. Step 3: Cross multiply
    180,952.22x = 249,843.48 × 120,665
  4. Step 4: Simplify right side
    180,952.22x = 30,147,363,514.20
  5. Step 5: Solve for x
    x = 30,147,363,514.20/180,952.22
  6. Step 6: Final answer
    x = 166,604.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.