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Finding the Fourth Proportional to 120,715.90, 180,907.08 and 45,756.48

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Solution

The fourth proportional to 120,715.90, 180,907.08 and 45,756.48 is: 68,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,715.90 : 180,907.08 = 45,756.48 : x
  2. Step 2: Convert to fraction form
    120,715.90/180,907.08 = 45,756.48/x
  3. Step 3: Cross multiply
    120,715.90x = 180,907.08 × 45,756.48
  4. Step 4: Simplify right side
    120,715.90x = 8,277,671,187.88
  5. Step 5: Solve for x
    x = 8,277,671,187.88/120,715.90
  6. Step 6: Final answer
    x = 68,571.51

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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.