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Finding the Fourth Proportional to 302,158.50, 416,987.91 and 166,185.42

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Solution

The fourth proportional to 302,158.50, 416,987.91 and 166,185.42 is: 229,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,158.50 : 416,987.91 = 166,185.42 : x
  2. Step 2: Convert to fraction form
    302,158.50/416,987.91 = 166,185.42/x
  3. Step 3: Cross multiply
    302,158.50x = 416,987.91 × 166,185.42
  4. Step 4: Simplify right side
    302,158.50x = 69,297,310,958.27
  5. Step 5: Solve for x
    x = 69,297,310,958.27/302,158.50
  6. Step 6: Final answer
    x = 229,340.93

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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.