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Finding the Fourth Proportional to 302,065.58, 416,849.82 and 166,107.90

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Solution

The fourth proportional to 302,065.58, 416,849.82 and 166,107.90 is: 229,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,065.58 : 416,849.82 = 166,107.90 : x
  2. Step 2: Convert to fraction form
    302,065.58/416,849.82 = 166,107.90/x
  3. Step 3: Cross multiply
    302,065.58x = 416,849.82 × 166,107.90
  4. Step 4: Simplify right side
    302,065.58x = 69,242,048,215.58
  5. Step 5: Solve for x
    x = 69,242,048,215.58/302,065.58
  6. Step 6: Final answer
    x = 229,228.53

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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.