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Finding the Fourth Proportional to 180,797.97, 249,484.43 and 100,218.65

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Solution

The fourth proportional to 180,797.97, 249,484.43 and 100,218.65 is: 138,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,797.97 : 249,484.43 = 100,218.65 : x
  2. Step 2: Convert to fraction form
    180,797.97/249,484.43 = 100,218.65/x
  3. Step 3: Cross multiply
    180,797.97x = 249,484.43 × 100,218.65
  4. Step 4: Simplify right side
    180,797.97x = 25,002,991,022.10
  5. Step 5: Solve for x
    x = 25,002,991,022.10/180,797.97
  6. Step 6: Final answer
    x = 138,292.43

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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.