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Finding the Fourth Proportional to 206,797.40, 285,378.64 and 116,154.76

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Solution

The fourth proportional to 206,797.40, 285,378.64 and 116,154.76 is: 160,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,797.40 : 285,378.64 = 116,154.76 : x
  2. Step 2: Convert to fraction form
    206,797.40/285,378.64 = 116,154.76/x
  3. Step 3: Cross multiply
    206,797.40x = 285,378.64 × 116,154.76
  4. Step 4: Simplify right side
    206,797.40x = 33,148,087,438.33
  5. Step 5: Solve for x
    x = 33,148,087,438.33/206,797.40
  6. Step 6: Final answer
    x = 160,292.57

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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.