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Finding the Fourth Proportional to 120,466.08, 180,864.63 and 61,341.48

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Solution

The fourth proportional to 120,466.08, 180,864.63 and 61,341.48 is: 92,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,466.08 : 180,864.63 = 61,341.48 : x
  2. Step 2: Convert to fraction form
    120,466.08/180,864.63 = 61,341.48/x
  3. Step 3: Cross multiply
    120,466.08x = 180,864.63 × 61,341.48
  4. Step 4: Simplify right side
    120,466.08x = 11,094,504,083.85
  5. Step 5: Solve for x
    x = 11,094,504,083.85/120,466.08
  6. Step 6: Final answer
    x = 92,096.50

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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.