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Finding the Fourth Proportional to 106,189.92, 146,518.56 and 61,452

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Solution

The fourth proportional to 106,189.92, 146,518.56 and 61,452 is: 84,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,189.92 : 146,518.56 = 61,452 : x
  2. Step 2: Convert to fraction form
    106,189.92/146,518.56 = 61,452/x
  3. Step 3: Cross multiply
    106,189.92x = 146,518.56 × 61,452
  4. Step 4: Simplify right side
    106,189.92x = 9,003,858,549.12
  5. Step 5: Solve for x
    x = 9,003,858,549.12/106,189.92
  6. Step 6: Final answer
    x = 84,790.14

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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.