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Finding the Fourth Proportional to 138,091.68, 190,564.92 and 77,662.08

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Solution

The fourth proportional to 138,091.68, 190,564.92 and 77,662.08 is: 107,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,091.68 : 190,564.92 = 77,662.08 : x
  2. Step 2: Convert to fraction form
    138,091.68/190,564.92 = 77,662.08/x
  3. Step 3: Cross multiply
    138,091.68x = 190,564.92 × 77,662.08
  4. Step 4: Simplify right side
    138,091.68x = 14,799,668,062.23
  5. Step 5: Solve for x
    x = 14,799,668,062.23/138,091.68
  6. Step 6: Final answer
    x = 107,172.77

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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.