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Finding the Fourth Proportional to 149,014.98, 205,648.74 and 85,350.60

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Solution

The fourth proportional to 149,014.98, 205,648.74 and 85,350.60 is: 117,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,014.98 : 205,648.74 = 85,350.60 : x
  2. Step 2: Convert to fraction form
    149,014.98/205,648.74 = 85,350.60/x
  3. Step 3: Cross multiply
    149,014.98x = 205,648.74 × 85,350.60
  4. Step 4: Simplify right side
    149,014.98x = 17,552,243,348.24
  5. Step 5: Solve for x
    x = 17,552,243,348.24/149,014.98
  6. Step 6: Final answer
    x = 117,788.45

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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.