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Finding the Fourth Proportional to 138,141.35, 190,646.12 and 77,708.39

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Solution

The fourth proportional to 138,141.35, 190,646.12 and 77,708.39 is: 107,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.35 : 190,646.12 = 77,708.39 : x
  2. Step 2: Convert to fraction form
    138,141.35/190,646.12 = 77,708.39/x
  3. Step 3: Cross multiply
    138,141.35x = 190,646.12 × 77,708.39
  4. Step 4: Simplify right side
    138,141.35x = 14,814,802,285.99
  5. Step 5: Solve for x
    x = 14,814,802,285.99/138,141.35
  6. Step 6: Final answer
    x = 107,243.80

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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.