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Finding the Fourth Proportional to 223,189.14, 308,069.28 and 132,559.86

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Solution

The fourth proportional to 223,189.14, 308,069.28 and 132,559.86 is: 182,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.14 : 308,069.28 = 132,559.86 : x
  2. Step 2: Convert to fraction form
    223,189.14/308,069.28 = 132,559.86/x
  3. Step 3: Cross multiply
    223,189.14x = 308,069.28 × 132,559.86
  4. Step 4: Simplify right side
    223,189.14x = 40,837,620,627.10
  5. Step 5: Solve for x
    x = 40,837,620,627.10/223,189.14
  6. Step 6: Final answer
    x = 182,973.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.