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Finding the Fourth Proportional to 213,477.98, 320,269.50 and 150,421.26

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Solution

The fourth proportional to 213,477.98, 320,269.50 and 150,421.26 is: 225,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.98 : 320,269.50 = 150,421.26 : x
  2. Step 2: Convert to fraction form
    213,477.98/320,269.50 = 150,421.26/x
  3. Step 3: Cross multiply
    213,477.98x = 320,269.50 × 150,421.26
  4. Step 4: Simplify right side
    213,477.98x = 48,175,341,729.57
  5. Step 5: Solve for x
    x = 48,175,341,729.57/213,477.98
  6. Step 6: Final answer
    x = 225,668.90

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1.5x scale

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.