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Finding the Fourth Proportional to 150,998.76, 208,373.04 and 97,286.04

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Solution

The fourth proportional to 150,998.76, 208,373.04 and 97,286.04 is: 134,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.76 : 208,373.04 = 97,286.04 : x
  2. Step 2: Convert to fraction form
    150,998.76/208,373.04 = 97,286.04/x
  3. Step 3: Cross multiply
    150,998.76x = 208,373.04 × 97,286.04
  4. Step 4: Simplify right side
    150,998.76x = 20,271,787,904.36
  5. Step 5: Solve for x
    x = 20,271,787,904.36/150,998.76
  6. Step 6: Final answer
    x = 134,251.35

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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.