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Finding the Fourth Proportional to 218,090.29, 300,949.70 and 132,097.00

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Solution

The fourth proportional to 218,090.29, 300,949.70 and 132,097.00 is: 182,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,090.29 : 300,949.70 = 132,097.00 : x
  2. Step 2: Convert to fraction form
    218,090.29/300,949.70 = 132,097.00/x
  3. Step 3: Cross multiply
    218,090.29x = 300,949.70 × 132,097.00
  4. Step 4: Simplify right side
    218,090.29x = 39,754,551,108.04
  5. Step 5: Solve for x
    x = 39,754,551,108.04/218,090.29
  6. Step 6: Final answer
    x = 182,284.83

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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.