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Finding the Fourth Proportional to 120,071.41, 180,107.10 and 45,208.34

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Solution

The fourth proportional to 120,071.41, 180,107.10 and 45,208.34 is: 67,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,071.41 : 180,107.10 = 45,208.34 : x
  2. Step 2: Convert to fraction form
    120,071.41/180,107.10 = 45,208.34/x
  3. Step 3: Cross multiply
    120,071.41x = 180,107.10 × 45,208.34
  4. Step 4: Simplify right side
    120,071.41x = 8,142,343,013.21
  5. Step 5: Solve for x
    x = 8,142,343,013.21/120,071.41
  6. Step 6: Final answer
    x = 67,812.51

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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.