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Finding the Fourth Proportional to 201,596.34, 278,202.69 and 125,086.98

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Solution

The fourth proportional to 201,596.34, 278,202.69 and 125,086.98 is: 172,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,596.34 : 278,202.69 = 125,086.98 : x
  2. Step 2: Convert to fraction form
    201,596.34/278,202.69 = 125,086.98/x
  3. Step 3: Cross multiply
    201,596.34x = 278,202.69 × 125,086.98
  4. Step 4: Simplify right side
    201,596.34x = 34,799,534,319.98
  5. Step 5: Solve for x
    x = 34,799,534,319.98/201,596.34
  6. Step 6: Final answer
    x = 172,619.87

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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.