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Finding the Fourth Proportional to 129,675.60, 194,513.40 and 106,328.40

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Solution

The fourth proportional to 129,675.60, 194,513.40 and 106,328.40 is: 159,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,675.60 : 194,513.40 = 106,328.40 : x
  2. Step 2: Convert to fraction form
    129,675.60/194,513.40 = 106,328.40/x
  3. Step 3: Cross multiply
    129,675.60x = 194,513.40 × 106,328.40
  4. Step 4: Simplify right side
    129,675.60x = 20,682,298,600.56
  5. Step 5: Solve for x
    x = 20,682,298,600.56/129,675.60
  6. Step 6: Final answer
    x = 159,492.60

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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.