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Finding the Fourth Proportional to 229,469.84, 316,493.12 and 166,017.68

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Solution

The fourth proportional to 229,469.84, 316,493.12 and 166,017.68 is: 228,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,469.84 : 316,493.12 = 166,017.68 : x
  2. Step 2: Convert to fraction form
    229,469.84/316,493.12 = 166,017.68/x
  3. Step 3: Cross multiply
    229,469.84x = 316,493.12 × 166,017.68
  4. Step 4: Simplify right side
    229,469.84x = 52,543,453,518.36
  5. Step 5: Solve for x
    x = 52,543,453,518.36/229,469.84
  6. Step 6: Final answer
    x = 228,977.60

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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.