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Finding the Fourth Proportional to 146,409, 219,696.56 and 67,523.28

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Solution

The fourth proportional to 146,409, 219,696.56 and 67,523.28 is: 101,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,409 : 219,696.56 = 67,523.28 : x
  2. Step 2: Convert to fraction form
    146,409/219,696.56 = 67,523.28/x
  3. Step 3: Cross multiply
    146,409x = 219,696.56 × 67,523.28
  4. Step 4: Simplify right side
    146,409x = 14,834,632,335.92
  5. Step 5: Solve for x
    x = 14,834,632,335.92/146,409
  6. Step 6: Final answer
    x = 101,323.23

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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.