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Finding the Fourth Proportional to 105,801.77, 145,824.63 and 100,819.06

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Solution

The fourth proportional to 105,801.77, 145,824.63 and 100,819.06 is: 138,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801.77 : 145,824.63 = 100,819.06 : x
  2. Step 2: Convert to fraction form
    105,801.77/145,824.63 = 100,819.06/x
  3. Step 3: Cross multiply
    105,801.77x = 145,824.63 × 100,819.06
  4. Step 4: Simplify right side
    105,801.77x = 14,701,902,121.45
  5. Step 5: Solve for x
    x = 14,701,902,121.45/105,801.77
  6. Step 6: Final answer
    x = 138,957.05

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