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Finding the Fourth Proportional to 302,164.27, 416,987.52 and 166,212.14

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Solution

The fourth proportional to 302,164.27, 416,987.52 and 166,212.14 is: 229,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,164.27 : 416,987.52 = 166,212.14 : x
  2. Step 2: Convert to fraction form
    302,164.27/416,987.52 = 166,212.14/x
  3. Step 3: Cross multiply
    302,164.27x = 416,987.52 × 166,212.14
  4. Step 4: Simplify right side
    302,164.27x = 69,308,388,679.43
  5. Step 5: Solve for x
    x = 69,308,388,679.43/302,164.27
  6. Step 6: Final answer
    x = 229,373.21

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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.