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Finding the Fourth Proportional to 138,239.60, 190,776.90 and 77,831

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Solution

The fourth proportional to 138,239.60, 190,776.90 and 77,831 is: 107,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,239.60 : 190,776.90 = 77,831 : x
  2. Step 2: Convert to fraction form
    138,239.60/190,776.90 = 77,831/x
  3. Step 3: Cross multiply
    138,239.60x = 190,776.90 × 77,831
  4. Step 4: Simplify right side
    138,239.60x = 14,848,356,903.90
  5. Step 5: Solve for x
    x = 14,848,356,903.90/138,239.60
  6. Step 6: Final answer
    x = 107,410.30

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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.