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Finding the Fourth Proportional to 302,263.26, 417,123.30 and 166,294.32

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Solution

The fourth proportional to 302,263.26, 417,123.30 and 166,294.32 is: 229,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,263.26 : 417,123.30 = 166,294.32 : x
  2. Step 2: Convert to fraction form
    302,263.26/417,123.30 = 166,294.32/x
  3. Step 3: Cross multiply
    302,263.26x = 417,123.30 × 166,294.32
  4. Step 4: Simplify right side
    302,263.26x = 69,365,235,529.66
  5. Step 5: Solve for x
    x = 69,365,235,529.66/302,263.26
  6. Step 6: Final answer
    x = 229,486.16

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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.