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Finding the Fourth Proportional to 302,102.64, 416,893.32 and 166,136.58

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Solution

The fourth proportional to 302,102.64, 416,893.32 and 166,136.58 is: 229,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102.64 : 416,893.32 = 166,136.58 : x
  2. Step 2: Convert to fraction form
    302,102.64/416,893.32 = 166,136.58/x
  3. Step 3: Cross multiply
    302,102.64x = 416,893.32 × 166,136.58
  4. Step 4: Simplify right side
    302,102.64x = 69,261,230,409.65
  5. Step 5: Solve for x
    x = 69,261,230,409.65/302,102.64
  6. Step 6: Final answer
    x = 229,263.90

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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.