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Finding the Fourth Proportional to 197,038.30, 271,697.81 and 133,265.38

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Solution

The fourth proportional to 197,038.30, 271,697.81 and 133,265.38 is: 183,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,038.30 : 271,697.81 = 133,265.38 : x
  2. Step 2: Convert to fraction form
    197,038.30/271,697.81 = 133,265.38/x
  3. Step 3: Cross multiply
    197,038.30x = 271,697.81 × 133,265.38
  4. Step 4: Simplify right side
    197,038.30x = 36,207,911,894.82
  5. Step 5: Solve for x
    x = 36,207,911,894.82/197,038.30
  6. Step 6: Final answer
    x = 183,760.78

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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.