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Finding the Fourth Proportional to 367,046, 550,463.22 and 100,815.20

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Solution

The fourth proportional to 367,046, 550,463.22 and 100,815.20 is: 151,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046 : 550,463.22 = 100,815.20 : x
  2. Step 2: Convert to fraction form
    367,046/550,463.22 = 100,815.20/x
  3. Step 3: Cross multiply
    367,046x = 550,463.22 × 100,815.20
  4. Step 4: Simplify right side
    367,046x = 55,495,059,616.94
  5. Step 5: Solve for x
    x = 55,495,059,616.94/367,046
  6. Step 6: Final answer
    x = 151,193.75

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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.