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Finding the Fourth Proportional to 146,696.64, 219,961.92 and 46,833.28

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Solution

The fourth proportional to 146,696.64, 219,961.92 and 46,833.28 is: 70,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,696.64 : 219,961.92 = 46,833.28 : x
  2. Step 2: Convert to fraction form
    146,696.64/219,961.92 = 46,833.28/x
  3. Step 3: Cross multiply
    146,696.64x = 219,961.92 × 46,833.28
  4. Step 4: Simplify right side
    146,696.64x = 10,301,538,188.70
  5. Step 5: Solve for x
    x = 10,301,538,188.70/146,696.64
  6. Step 6: Final answer
    x = 70,223.41

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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.