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Finding the Fourth Proportional to 201,403, 302,104.50 and 95,902.12

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Solution

The fourth proportional to 201,403, 302,104.50 and 95,902.12 is: 143,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,403 : 302,104.50 = 95,902.12 : x
  2. Step 2: Convert to fraction form
    201,403/302,104.50 = 95,902.12/x
  3. Step 3: Cross multiply
    201,403x = 302,104.50 × 95,902.12
  4. Step 4: Simplify right side
    201,403x = 28,972,462,011.54
  5. Step 5: Solve for x
    x = 28,972,462,011.54/201,403
  6. Step 6: Final answer
    x = 143,853.18

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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.