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Finding the Fourth Proportional to 166,203.84, 229,281.52 and 120,811.44

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Solution

The fourth proportional to 166,203.84, 229,281.52 and 120,811.44 is: 166,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,203.84 : 229,281.52 = 120,811.44 : x
  2. Step 2: Convert to fraction form
    166,203.84/229,281.52 = 120,811.44/x
  3. Step 3: Cross multiply
    166,203.84x = 229,281.52 × 120,811.44
  4. Step 4: Simplify right side
    166,203.84x = 27,699,830,596.59
  5. Step 5: Solve for x
    x = 27,699,830,596.59/166,203.84
  6. Step 6: Final answer
    x = 166,661.80

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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.