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Finding the Fourth Proportional to 302,174.65, 416,992.20 and 166,208.56

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Solution

The fourth proportional to 302,174.65, 416,992.20 and 166,208.56 is: 229,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,174.65 : 416,992.20 = 166,208.56 : x
  2. Step 2: Convert to fraction form
    302,174.65/416,992.20 = 166,208.56/x
  3. Step 3: Cross multiply
    302,174.65x = 416,992.20 × 166,208.56
  4. Step 4: Simplify right side
    302,174.65x = 69,307,671,427.47
  5. Step 5: Solve for x
    x = 69,307,671,427.47/302,174.65
  6. Step 6: Final answer
    x = 229,362.96

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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.