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Finding the Fourth Proportional to 302,085.42, 416,871.06 and 164,261.34

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Solution

The fourth proportional to 302,085.42, 416,871.06 and 164,261.34 is: 226,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,085.42 : 416,871.06 = 164,261.34 : x
  2. Step 2: Convert to fraction form
    302,085.42/416,871.06 = 164,261.34/x
  3. Step 3: Cross multiply
    302,085.42x = 416,871.06 × 164,261.34
  4. Step 4: Simplify right side
    302,085.42x = 68,475,798,922.82
  5. Step 5: Solve for x
    x = 68,475,798,922.82/302,085.42
  6. Step 6: Final answer
    x = 226,676.94

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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.