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Finding the Fourth Proportional to 120,933.70, 180,486.03 and 117,784.42

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Solution

The fourth proportional to 120,933.70, 180,486.03 and 117,784.42 is: 175,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,933.70 : 180,486.03 = 117,784.42 : x
  2. Step 2: Convert to fraction form
    120,933.70/180,486.03 = 117,784.42/x
  3. Step 3: Cross multiply
    120,933.70x = 180,486.03 × 117,784.42
  4. Step 4: Simplify right side
    120,933.70x = 21,258,442,361.65
  5. Step 5: Solve for x
    x = 21,258,442,361.65/120,933.70
  6. Step 6: Final answer
    x = 175,785.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.