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Finding the Fourth Proportional to 120,846.30, 181,269.45 and 89,742.30

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Solution

The fourth proportional to 120,846.30, 181,269.45 and 89,742.30 is: 134,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,846.30 : 181,269.45 = 89,742.30 : x
  2. Step 2: Convert to fraction form
    120,846.30/181,269.45 = 89,742.30/x
  3. Step 3: Cross multiply
    120,846.30x = 181,269.45 × 89,742.30
  4. Step 4: Simplify right side
    120,846.30x = 16,267,537,362.74
  5. Step 5: Solve for x
    x = 16,267,537,362.74/120,846.30
  6. Step 6: Final answer
    x = 134,613.45

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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.