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Finding the Fourth Proportional to 153,735.37, 230,494.14 and 68,299.30

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Solution

The fourth proportional to 153,735.37, 230,494.14 and 68,299.30 is: 102,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,735.37 : 230,494.14 = 68,299.30 : x
  2. Step 2: Convert to fraction form
    153,735.37/230,494.14 = 68,299.30/x
  3. Step 3: Cross multiply
    153,735.37x = 230,494.14 × 68,299.30
  4. Step 4: Simplify right side
    153,735.37x = 15,742,588,416.10
  5. Step 5: Solve for x
    x = 15,742,588,416.10/153,735.37
  6. Step 6: Final answer
    x = 102,400.56

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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.