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Finding the Fourth Proportional to 302,057.36, 416,849.85 and 166,101.62

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Solution

The fourth proportional to 302,057.36, 416,849.85 and 166,101.62 is: 229,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.36 : 416,849.85 = 166,101.62 : x
  2. Step 2: Convert to fraction form
    302,057.36/416,849.85 = 166,101.62/x
  3. Step 3: Cross multiply
    302,057.36x = 416,849.85 × 166,101.62
  4. Step 4: Simplify right side
    302,057.36x = 69,239,435,381.76
  5. Step 5: Solve for x
    x = 69,239,435,381.76/302,057.36
  6. Step 6: Final answer
    x = 229,226.12

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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.