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Finding the Fourth Proportional to 296,103.90, 408,624.58 and 160,137.84

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Solution

The fourth proportional to 296,103.90, 408,624.58 and 160,137.84 is: 220,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103.90 : 408,624.58 = 160,137.84 : x
  2. Step 2: Convert to fraction form
    296,103.90/408,624.58 = 160,137.84/x
  3. Step 3: Cross multiply
    296,103.90x = 408,624.58 × 160,137.84
  4. Step 4: Simplify right side
    296,103.90x = 65,436,257,612.11
  5. Step 5: Solve for x
    x = 65,436,257,612.11/296,103.90
  6. Step 6: Final answer
    x = 220,990.87

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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.