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Finding the Fourth Proportional to 214,049.92, 295,385.88 and 123,406.04

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Solution

The fourth proportional to 214,049.92, 295,385.88 and 123,406.04 is: 170,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.92 : 295,385.88 = 123,406.04 : x
  2. Step 2: Convert to fraction form
    214,049.92/295,385.88 = 123,406.04/x
  3. Step 3: Cross multiply
    214,049.92x = 295,385.88 × 123,406.04
  4. Step 4: Simplify right side
    214,049.92x = 36,452,401,722.72
  5. Step 5: Solve for x
    x = 36,452,401,722.72/214,049.92
  6. Step 6: Final answer
    x = 170,298.60

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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.