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Finding the Fourth Proportional to 213,477.45, 320,268.74 and 150,420.74

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Solution

The fourth proportional to 213,477.45, 320,268.74 and 150,420.74 is: 225,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.45 : 320,268.74 = 150,420.74 : x
  2. Step 2: Convert to fraction form
    213,477.45/320,268.74 = 150,420.74/x
  3. Step 3: Cross multiply
    213,477.45x = 320,268.74 × 150,420.74
  4. Step 4: Simplify right side
    213,477.45x = 48,175,058,516.22
  5. Step 5: Solve for x
    x = 48,175,058,516.22/213,477.45
  6. Step 6: Final answer
    x = 225,668.14

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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.