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Finding the Fourth Proportional to 101,122.30, 151,719.90 and 97,477.30

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Solution

The fourth proportional to 101,122.30, 151,719.90 and 97,477.30 is: 146,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,122.30 : 151,719.90 = 97,477.30 : x
  2. Step 2: Convert to fraction form
    101,122.30/151,719.90 = 97,477.30/x
  3. Step 3: Cross multiply
    101,122.30x = 151,719.90 × 97,477.30
  4. Step 4: Simplify right side
    101,122.30x = 14,789,246,208.27
  5. Step 5: Solve for x
    x = 14,789,246,208.27/101,122.30
  6. Step 6: Final answer
    x = 146,251.09

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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.