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Finding the Fourth Proportional to 801,174.94, 1,201,731 and 202,128.64

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Solution

The fourth proportional to 801,174.94, 1,201,731 and 202,128.64 is: 303,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,174.94 : 1,201,731 = 202,128.64 : x
  2. Step 2: Convert to fraction form
    801,174.94/1,201,731 = 202,128.64/x
  3. Step 3: Cross multiply
    801,174.94x = 1,201,731 × 202,128.64
  4. Step 4: Simplify right side
    801,174.94x = 242,904,252,675.84
  5. Step 5: Solve for x
    x = 242,904,252,675.84/801,174.94
  6. Step 6: Final answer
    x = 303,185.04

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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.