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Finding the Fourth Proportional to 229,996.80, 345,254.40 and 177,638.40

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Solution

The fourth proportional to 229,996.80, 345,254.40 and 177,638.40 is: 266,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996.80 : 345,254.40 = 177,638.40 : x
  2. Step 2: Convert to fraction form
    229,996.80/345,254.40 = 177,638.40/x
  3. Step 3: Cross multiply
    229,996.80x = 345,254.40 × 177,638.40
  4. Step 4: Simplify right side
    229,996.80x = 61,330,439,208.96
  5. Step 5: Solve for x
    x = 61,330,439,208.96/229,996.80
  6. Step 6: Final answer
    x = 266,657.79

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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.