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Finding the Fourth Proportional to 129,113.84, 193,311.50 and 65,797.44

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Solution

The fourth proportional to 129,113.84, 193,311.50 and 65,797.44 is: 98,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,113.84 : 193,311.50 = 65,797.44 : x
  2. Step 2: Convert to fraction form
    129,113.84/193,311.50 = 65,797.44/x
  3. Step 3: Cross multiply
    129,113.84x = 193,311.50 × 65,797.44
  4. Step 4: Simplify right side
    129,113.84x = 12,719,401,493.57
  5. Step 5: Solve for x
    x = 12,719,401,493.57/129,113.84
  6. Step 6: Final answer
    x = 98,513.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.