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Finding the Fourth Proportional to 146,546.50, 219,819.40 and 96,262.93

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Solution

The fourth proportional to 146,546.50, 219,819.40 and 96,262.93 is: 144,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,546.50 : 219,819.40 = 96,262.93 : x
  2. Step 2: Convert to fraction form
    146,546.50/219,819.40 = 96,262.93/x
  3. Step 3: Cross multiply
    146,546.50x = 219,819.40 × 96,262.93
  4. Step 4: Simplify right side
    146,546.50x = 21,160,458,415.75
  5. Step 5: Solve for x
    x = 21,160,458,415.75/146,546.50
  6. Step 6: Final answer
    x = 144,394.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.