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Finding the Fourth Proportional to 100,556.50, 150,898.28 and 56,212.34

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Solution

The fourth proportional to 100,556.50, 150,898.28 and 56,212.34 is: 84,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,556.50 : 150,898.28 = 56,212.34 : x
  2. Step 2: Convert to fraction form
    100,556.50/150,898.28 = 56,212.34/x
  3. Step 3: Cross multiply
    100,556.50x = 150,898.28 × 56,212.34
  4. Step 4: Simplify right side
    100,556.50x = 8,482,345,420.78
  5. Step 5: Solve for x
    x = 8,482,345,420.78/100,556.50
  6. Step 6: Final answer
    x = 84,354.02

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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.