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Finding the Fourth Proportional to 302,261.49, 417,120.84 and 166,292.51

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Solution

The fourth proportional to 302,261.49, 417,120.84 and 166,292.51 is: 229,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,261.49 : 417,120.84 = 166,292.51 : x
  2. Step 2: Convert to fraction form
    302,261.49/417,120.84 = 166,292.51/x
  3. Step 3: Cross multiply
    302,261.49x = 417,120.84 × 166,292.51
  4. Step 4: Simplify right side
    302,261.49x = 69,364,069,371.30
  5. Step 5: Solve for x
    x = 69,364,069,371.30/302,261.49
  6. Step 6: Final answer
    x = 229,483.65

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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.