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Finding the Fourth Proportional to 203,902.40, 286,053.85 and 203,902.40

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Solution

The fourth proportional to 203,902.40, 286,053.85 and 203,902.40 is: 286,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.40 : 286,053.85 = 203,902.40 : x
  2. Step 2: Convert to fraction form
    203,902.40/286,053.85 = 203,902.40/x
  3. Step 3: Cross multiply
    203,902.40x = 286,053.85 × 203,902.40
  4. Step 4: Simplify right side
    203,902.40x = 58,327,066,544.24
  5. Step 5: Solve for x
    x = 58,327,066,544.24/203,902.40
  6. Step 6: Final answer
    x = 286,053.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.