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Finding the Fourth Proportional to 302,107.34, 416,918.82 and 166,151.78

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Solution

The fourth proportional to 302,107.34, 416,918.82 and 166,151.78 is: 229,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,107.34 : 416,918.82 = 166,151.78 : x
  2. Step 2: Convert to fraction form
    302,107.34/416,918.82 = 166,151.78/x
  3. Step 3: Cross multiply
    302,107.34x = 416,918.82 × 166,151.78
  4. Step 4: Simplify right side
    302,107.34x = 69,271,804,058.50
  5. Step 5: Solve for x
    x = 69,271,804,058.50/302,107.34
  6. Step 6: Final answer
    x = 229,295.34

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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.