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Finding the Fourth Proportional to 149,125.96, 205,802.34 and 85,474.36

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Solution

The fourth proportional to 149,125.96, 205,802.34 and 85,474.36 is: 117,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125.96 : 205,802.34 = 85,474.36 : x
  2. Step 2: Convert to fraction form
    149,125.96/205,802.34 = 85,474.36/x
  3. Step 3: Cross multiply
    149,125.96x = 205,802.34 × 85,474.36
  4. Step 4: Simplify right side
    149,125.96x = 17,590,823,298.00
  5. Step 5: Solve for x
    x = 17,590,823,298.00/149,125.96
  6. Step 6: Final answer
    x = 117,959.50

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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.