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Finding the Fourth Proportional to 101,256.28, 151,905.90 and 34,678.54

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Solution

The fourth proportional to 101,256.28, 151,905.90 and 34,678.54 is: 52,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,256.28 : 151,905.90 = 34,678.54 : x
  2. Step 2: Convert to fraction form
    101,256.28/151,905.90 = 34,678.54/x
  3. Step 3: Cross multiply
    101,256.28x = 151,905.90 × 34,678.54
  4. Step 4: Simplify right side
    101,256.28x = 5,267,874,829.39
  5. Step 5: Solve for x
    x = 5,267,874,829.39/101,256.28
  6. Step 6: Final answer
    x = 52,025.17

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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.