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Finding the Fourth Proportional to 133,584, 200,201.04 and 74,447.52

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Solution

The fourth proportional to 133,584, 200,201.04 and 74,447.52 is: 111,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584 : 200,201.04 = 74,447.52 : x
  2. Step 2: Convert to fraction form
    133,584/200,201.04 = 74,447.52/x
  3. Step 3: Cross multiply
    133,584x = 200,201.04 × 74,447.52
  4. Step 4: Simplify right side
    133,584x = 14,904,470,929.42
  5. Step 5: Solve for x
    x = 14,904,470,929.42/133,584
  6. Step 6: Final answer
    x = 111,573.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.