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Finding the Fourth Proportional to 302,658.89, 417,664.12 and 166,705.55

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Solution

The fourth proportional to 302,658.89, 417,664.12 and 166,705.55 is: 230,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,658.89 : 417,664.12 = 166,705.55 : x
  2. Step 2: Convert to fraction form
    302,658.89/417,664.12 = 166,705.55/x
  3. Step 3: Cross multiply
    302,658.89x = 417,664.12 × 166,705.55
  4. Step 4: Simplify right side
    302,658.89x = 69,626,927,884.03
  5. Step 5: Solve for x
    x = 69,626,927,884.03/302,658.89
  6. Step 6: Final answer
    x = 230,050.83

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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.