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Finding the Fourth Proportional to 149,232.95, 205,949.07 and 84,706.73

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Solution

The fourth proportional to 149,232.95, 205,949.07 and 84,706.73 is: 116,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,232.95 : 205,949.07 = 84,706.73 : x
  2. Step 2: Convert to fraction form
    149,232.95/205,949.07 = 84,706.73/x
  3. Step 3: Cross multiply
    149,232.95x = 205,949.07 × 84,706.73
  4. Step 4: Simplify right side
    149,232.95x = 17,445,272,266.24
  5. Step 5: Solve for x
    x = 17,445,272,266.24/149,232.95
  6. Step 6: Final answer
    x = 116,899.60

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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.