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Finding the Fourth Proportional to 120,398.45, 180,599.45 and 57,225.02

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Solution

The fourth proportional to 120,398.45, 180,599.45 and 57,225.02 is: 85,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,398.45 : 180,599.45 = 57,225.02 : x
  2. Step 2: Convert to fraction form
    120,398.45/180,599.45 = 57,225.02/x
  3. Step 3: Cross multiply
    120,398.45x = 180,599.45 × 57,225.02
  4. Step 4: Simplify right side
    120,398.45x = 10,334,805,949.12
  5. Step 5: Solve for x
    x = 10,334,805,949.12/120,398.45
  6. Step 6: Final answer
    x = 85,838.37

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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.