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Finding the Fourth Proportional to 120,552.67, 180,804.30 and 45,646.98

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Solution

The fourth proportional to 120,552.67, 180,804.30 and 45,646.98 is: 68,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,552.67 : 180,804.30 = 45,646.98 : x
  2. Step 2: Convert to fraction form
    120,552.67/180,804.30 = 45,646.98/x
  3. Step 3: Cross multiply
    120,552.67x = 180,804.30 × 45,646.98
  4. Step 4: Simplify right side
    120,552.67x = 8,253,170,266.01
  5. Step 5: Solve for x
    x = 8,253,170,266.01/120,552.67
  6. Step 6: Final answer
    x = 68,461.12

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Why These Related Problems?

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