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Finding the Fourth Proportional to 180,793.84, 249,464.88 and 120,454.48

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Solution

The fourth proportional to 180,793.84, 249,464.88 and 120,454.48 is: 166,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793.84 : 249,464.88 = 120,454.48 : x
  2. Step 2: Convert to fraction form
    180,793.84/249,464.88 = 120,454.48/x
  3. Step 3: Cross multiply
    180,793.84x = 249,464.88 × 120,454.48
  4. Step 4: Simplify right side
    180,793.84x = 30,049,162,398.66
  5. Step 5: Solve for x
    x = 30,049,162,398.66/180,793.84
  6. Step 6: Final answer
    x = 166,206.78

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1.5x scale

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.