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Finding the Fourth Proportional to 271,659.80, 407,327.70 and 166,554.20

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Solution

The fourth proportional to 271,659.80, 407,327.70 and 166,554.20 is: 249,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,659.80 : 407,327.70 = 166,554.20 : x
  2. Step 2: Convert to fraction form
    271,659.80/407,327.70 = 166,554.20/x
  3. Step 3: Cross multiply
    271,659.80x = 407,327.70 × 166,554.20
  4. Step 4: Simplify right side
    271,659.80x = 67,842,139,211.34
  5. Step 5: Solve for x
    x = 67,842,139,211.34/271,659.80
  6. Step 6: Final answer
    x = 249,731.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.