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Finding the Fourth Proportional to 138,346.60, 207,714.30 and 85,858.60

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Solution

The fourth proportional to 138,346.60, 207,714.30 and 85,858.60 is: 128,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,346.60 : 207,714.30 = 85,858.60 : x
  2. Step 2: Convert to fraction form
    138,346.60/207,714.30 = 85,858.60/x
  3. Step 3: Cross multiply
    138,346.60x = 207,714.30 × 85,858.60
  4. Step 4: Simplify right side
    138,346.60x = 17,834,058,997.98
  5. Step 5: Solve for x
    x = 17,834,058,997.98/138,346.60
  6. Step 6: Final answer
    x = 128,908.55

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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.