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Finding the Fourth Proportional to 177,855.40, 266,783.10 and 169,982.20

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Solution

The fourth proportional to 177,855.40, 266,783.10 and 169,982.20 is: 254,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,855.40 : 266,783.10 = 169,982.20 : x
  2. Step 2: Convert to fraction form
    177,855.40/266,783.10 = 169,982.20/x
  3. Step 3: Cross multiply
    177,855.40x = 266,783.10 × 169,982.20
  4. Step 4: Simplify right side
    177,855.40x = 45,348,378,260.82
  5. Step 5: Solve for x
    x = 45,348,378,260.82/177,855.40
  6. Step 6: Final answer
    x = 254,973.30

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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.