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Finding the Fourth Proportional to 302,042.10, 416,819.67 and 166,084.80

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Solution

The fourth proportional to 302,042.10, 416,819.67 and 166,084.80 is: 229,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.10 : 416,819.67 = 166,084.80 : x
  2. Step 2: Convert to fraction form
    302,042.10/416,819.67 = 166,084.80/x
  3. Step 3: Cross multiply
    302,042.10x = 416,819.67 × 166,084.80
  4. Step 4: Simplify right side
    302,042.10x = 69,227,411,528.02
  5. Step 5: Solve for x
    x = 69,227,411,528.02/302,042.10
  6. Step 6: Final answer
    x = 229,197.89

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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.