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Finding the Fourth Proportional to 120,458.08, 180,852.63 and 61,333.48

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Solution

The fourth proportional to 120,458.08, 180,852.63 and 61,333.48 is: 92,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,458.08 : 180,852.63 = 61,333.48 : x
  2. Step 2: Convert to fraction form
    120,458.08/180,852.63 = 61,333.48/x
  3. Step 3: Cross multiply
    120,458.08x = 180,852.63 × 61,333.48
  4. Step 4: Simplify right side
    120,458.08x = 11,092,321,165.05
  5. Step 5: Solve for x
    x = 11,092,321,165.05/120,458.08
  6. Step 6: Final answer
    x = 92,084.49

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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.