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Finding the Fourth Proportional to 213,613.20, 320,139.49 and 157,189.11

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Solution

The fourth proportional to 213,613.20, 320,139.49 and 157,189.11 is: 235,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613.20 : 320,139.49 = 157,189.11 : x
  2. Step 2: Convert to fraction form
    213,613.20/320,139.49 = 157,189.11/x
  3. Step 3: Cross multiply
    213,613.20x = 320,139.49 × 157,189.11
  4. Step 4: Simplify right side
    213,613.20x = 50,322,440,210.19
  5. Step 5: Solve for x
    x = 50,322,440,210.19/213,613.20
  6. Step 6: Final answer
    x = 235,577.39

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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.