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Finding the Fourth Proportional to 302,163.60, 416,985.98 and 166,207.89

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Solution

The fourth proportional to 302,163.60, 416,985.98 and 166,207.89 is: 229,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,163.60 : 416,985.98 = 166,207.89 : x
  2. Step 2: Convert to fraction form
    302,163.60/416,985.98 = 166,207.89/x
  3. Step 3: Cross multiply
    302,163.60x = 416,985.98 × 166,207.89
  4. Step 4: Simplify right side
    302,163.60x = 69,306,357,500.65
  5. Step 5: Solve for x
    x = 69,306,357,500.65/302,163.60
  6. Step 6: Final answer
    x = 229,367.00

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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.