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Finding the Fourth Proportional to 202,938.01, 304,357.81 and 84,544.77

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Solution

The fourth proportional to 202,938.01, 304,357.81 and 84,544.77 is: 126,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.01 : 304,357.81 = 84,544.77 : x
  2. Step 2: Convert to fraction form
    202,938.01/304,357.81 = 84,544.77/x
  3. Step 3: Cross multiply
    202,938.01x = 304,357.81 × 84,544.77
  4. Step 4: Simplify right side
    202,938.01x = 25,731,859,099.64
  5. Step 5: Solve for x
    x = 25,731,859,099.64/202,938.01
  6. Step 6: Final answer
    x = 126,796.65

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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.