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Finding the Fourth Proportional to 100,819.32, 138,897.74 and 72,475.96

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Solution

The fourth proportional to 100,819.32, 138,897.74 and 72,475.96 is: 99,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.32 : 138,897.74 = 72,475.96 : x
  2. Step 2: Convert to fraction form
    100,819.32/138,897.74 = 72,475.96/x
  3. Step 3: Cross multiply
    100,819.32x = 138,897.74 × 72,475.96
  4. Step 4: Simplify right side
    100,819.32x = 10,066,747,048.33
  5. Step 5: Solve for x
    x = 10,066,747,048.33/100,819.32
  6. Step 6: Final answer
    x = 99,849.38

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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.