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Finding the Fourth Proportional to 149,145.36, 205,821.28 and 85,486.88

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Solution

The fourth proportional to 149,145.36, 205,821.28 and 85,486.88 is: 117,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,145.36 : 205,821.28 = 85,486.88 : x
  2. Step 2: Convert to fraction form
    149,145.36/205,821.28 = 85,486.88/x
  3. Step 3: Cross multiply
    149,145.36x = 205,821.28 × 85,486.88
  4. Step 4: Simplify right side
    149,145.36x = 17,595,019,064.81
  5. Step 5: Solve for x
    x = 17,595,019,064.81/149,145.36
  6. Step 6: Final answer
    x = 117,972.29

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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.