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Finding the Fourth Proportional to 120,179.02, 180,141.40 and 45,266.75

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Solution

The fourth proportional to 120,179.02, 180,141.40 and 45,266.75 is: 67,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,179.02 : 180,141.40 = 45,266.75 : x
  2. Step 2: Convert to fraction form
    120,179.02/180,141.40 = 45,266.75/x
  3. Step 3: Cross multiply
    120,179.02x = 180,141.40 × 45,266.75
  4. Step 4: Simplify right side
    120,179.02x = 8,154,415,718.45
  5. Step 5: Solve for x
    x = 8,154,415,718.45/120,179.02
  6. Step 6: Final answer
    x = 67,852.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.