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Finding the Fourth Proportional to 101,078.94, 151,495.40 and 71,505.30

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Solution

The fourth proportional to 101,078.94, 151,495.40 and 71,505.30 is: 107,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,078.94 : 151,495.40 = 71,505.30 : x
  2. Step 2: Convert to fraction form
    101,078.94/151,495.40 = 71,505.30/x
  3. Step 3: Cross multiply
    101,078.94x = 151,495.40 × 71,505.30
  4. Step 4: Simplify right side
    101,078.94x = 10,832,724,025.62
  5. Step 5: Solve for x
    x = 10,832,724,025.62/101,078.94
  6. Step 6: Final answer
    x = 107,170.93

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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.