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Finding the Fourth Proportional to 120,341.10, 180,461.97 and 45,448.50

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Solution

The fourth proportional to 120,341.10, 180,461.97 and 45,448.50 is: 68,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,341.10 : 180,461.97 = 45,448.50 : x
  2. Step 2: Convert to fraction form
    120,341.10/180,461.97 = 45,448.50/x
  3. Step 3: Cross multiply
    120,341.10x = 180,461.97 × 45,448.50
  4. Step 4: Simplify right side
    120,341.10x = 8,201,725,843.55
  5. Step 5: Solve for x
    x = 8,201,725,843.55/120,341.10
  6. Step 6: Final answer
    x = 68,153.99

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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.