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Finding the Fourth Proportional to 302,211.34, 417,035.25 and 166,223.35

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Solution

The fourth proportional to 302,211.34, 417,035.25 and 166,223.35 is: 229,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,211.34 : 417,035.25 = 166,223.35 : x
  2. Step 2: Convert to fraction form
    302,211.34/417,035.25 = 166,223.35/x
  3. Step 3: Cross multiply
    302,211.34x = 417,035.25 × 166,223.35
  4. Step 4: Simplify right side
    302,211.34x = 69,320,996,323.09
  5. Step 5: Solve for x
    x = 69,320,996,323.09/302,211.34
  6. Step 6: Final answer
    x = 229,379.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.