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Finding the Fourth Proportional to 302,112.70, 416,926.23 and 166,157.17

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Solution

The fourth proportional to 302,112.70, 416,926.23 and 166,157.17 is: 229,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112.70 : 416,926.23 = 166,157.17 : x
  2. Step 2: Convert to fraction form
    302,112.70/416,926.23 = 166,157.17/x
  3. Step 3: Cross multiply
    302,112.70x = 416,926.23 × 166,157.17
  4. Step 4: Simplify right side
    302,112.70x = 69,275,282,475.57
  5. Step 5: Solve for x
    x = 69,275,282,475.57/302,112.70
  6. Step 6: Final answer
    x = 229,302.78

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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.