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Finding the Fourth Proportional to 302,105.56, 416,909.46 and 166,154.44

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Solution

The fourth proportional to 302,105.56, 416,909.46 and 166,154.44 is: 229,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,105.56 : 416,909.46 = 166,154.44 : x
  2. Step 2: Convert to fraction form
    302,105.56/416,909.46 = 166,154.44/x
  3. Step 3: Cross multiply
    302,105.56x = 416,909.46 × 166,154.44
  4. Step 4: Simplify right side
    302,105.56x = 69,271,357,857.00
  5. Step 5: Solve for x
    x = 69,271,357,857.00/302,105.56
  6. Step 6: Final answer
    x = 229,295.21

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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.