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Finding the Fourth Proportional to 115,820.28, 159,931.74 and 72,871.38

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Solution

The fourth proportional to 115,820.28, 159,931.74 and 72,871.38 is: 100,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,820.28 : 159,931.74 = 72,871.38 : x
  2. Step 2: Convert to fraction form
    115,820.28/159,931.74 = 72,871.38/x
  3. Step 3: Cross multiply
    115,820.28x = 159,931.74 × 72,871.38
  4. Step 4: Simplify right side
    115,820.28x = 11,654,446,599.60
  5. Step 5: Solve for x
    x = 11,654,446,599.60/115,820.28
  6. Step 6: Final answer
    x = 100,625.27

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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.