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Finding the Fourth Proportional to 302,064.55, 416,834.82 and 166,104.23

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Solution

The fourth proportional to 302,064.55, 416,834.82 and 166,104.23 is: 229,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,064.55 : 416,834.82 = 166,104.23 : x
  2. Step 2: Convert to fraction form
    302,064.55/416,834.82 = 166,104.23/x
  3. Step 3: Cross multiply
    302,064.55x = 416,834.82 × 166,104.23
  4. Step 4: Simplify right side
    302,064.55x = 69,238,026,842.44
  5. Step 5: Solve for x
    x = 69,238,026,842.44/302,064.55
  6. Step 6: Final answer
    x = 229,215.99

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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.