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Finding the Fourth Proportional to 199,461.60, 299,043.60 and 120,559.20

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Solution

The fourth proportional to 199,461.60, 299,043.60 and 120,559.20 is: 180,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,461.60 : 299,043.60 = 120,559.20 : x
  2. Step 2: Convert to fraction form
    199,461.60/299,043.60 = 120,559.20/x
  3. Step 3: Cross multiply
    199,461.60x = 299,043.60 × 120,559.20
  4. Step 4: Simplify right side
    199,461.60x = 36,052,457,181.12
  5. Step 5: Solve for x
    x = 36,052,457,181.12/199,461.60
  6. Step 6: Final answer
    x = 180,748.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.