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Finding the Fourth Proportional to 199,317.60, 298,827.60 and 120,415.20

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Solution

The fourth proportional to 199,317.60, 298,827.60 and 120,415.20 is: 180,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,317.60 : 298,827.60 = 120,415.20 : x
  2. Step 2: Convert to fraction form
    199,317.60/298,827.60 = 120,415.20/x
  3. Step 3: Cross multiply
    199,317.60x = 298,827.60 × 120,415.20
  4. Step 4: Simplify right side
    199,317.60x = 35,983,385,219.52
  5. Step 5: Solve for x
    x = 35,983,385,219.52/199,317.60
  6. Step 6: Final answer
    x = 180,532.90

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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.