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Finding the Fourth Proportional to 132,184.50, 182,331.60 and 78,431.46

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Solution

The fourth proportional to 132,184.50, 182,331.60 and 78,431.46 is: 108,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,184.50 : 182,331.60 = 78,431.46 : x
  2. Step 2: Convert to fraction form
    132,184.50/182,331.60 = 78,431.46/x
  3. Step 3: Cross multiply
    132,184.50x = 182,331.60 × 78,431.46
  4. Step 4: Simplify right side
    132,184.50x = 14,300,533,592.14
  5. Step 5: Solve for x
    x = 14,300,533,592.14/132,184.50
  6. Step 6: Final answer
    x = 108,186.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.