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Finding the Fourth Proportional to 367,416, 551,158.83 and 142,793.75

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Solution

The fourth proportional to 367,416, 551,158.83 and 142,793.75 is: 214,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416 : 551,158.83 = 142,793.75 : x
  2. Step 2: Convert to fraction form
    367,416/551,158.83 = 142,793.75/x
  3. Step 3: Cross multiply
    367,416x = 551,158.83 × 142,793.75
  4. Step 4: Simplify right side
    367,416x = 78,702,037,559.21
  5. Step 5: Solve for x
    x = 78,702,037,559.21/367,416
  6. Step 6: Final answer
    x = 214,204.17

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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.