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Finding the Fourth Proportional to 146,174.76, 201,914.78 and 117,602.01

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Solution

The fourth proportional to 146,174.76, 201,914.78 and 117,602.01 is: 162,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,174.76 : 201,914.78 = 117,602.01 : x
  2. Step 2: Convert to fraction form
    146,174.76/201,914.78 = 117,602.01/x
  3. Step 3: Cross multiply
    146,174.76x = 201,914.78 × 117,602.01
  4. Step 4: Simplify right side
    146,174.76x = 23,745,583,388.70
  5. Step 5: Solve for x
    x = 23,745,583,388.70/146,174.76
  6. Step 6: Final answer
    x = 162,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.