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Finding the Fourth Proportional to 180,859.20, 249,591.84 and 100,282

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Solution

The fourth proportional to 180,859.20, 249,591.84 and 100,282 is: 138,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,859.20 : 249,591.84 = 100,282 : x
  2. Step 2: Convert to fraction form
    180,859.20/249,591.84 = 100,282/x
  3. Step 3: Cross multiply
    180,859.20x = 249,591.84 × 100,282
  4. Step 4: Simplify right side
    180,859.20x = 25,029,568,898.88
  5. Step 5: Solve for x
    x = 25,029,568,898.88/180,859.20
  6. Step 6: Final answer
    x = 138,392.57

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